Time, Speed & Distance Questions for Bank Exams

While preparing for any banking exam candidates must thoroughly understand and know the basic formulas and must have conceptual clarity especially in the quant section. This is one of the most important topics from which questions are asked in almost all banking exams. With the onset of RBI Assistant prelims examination soon aspirants must be completely prepared with all the sections especially quant as a lot of calculations is involved in this and is said to be a lengthy section. Keeping this in mind we are here with few Time, Speed & Distance Questions for Bank Exams. These practice questions are absolutely free and are given along with their answers followed by detailed explanations/solutions. Let us first understand the basics of time, speed & distance. 

Time, speed and distance:

Basics:

Time taken to travel a certain distance = Distance travelled ÷ average speed of travel

Speed of travel = Distance travelled ÷ Time taken for the distance travelled

Distance travelled = Speed at which the distance was travelled × Time taken for the travel

Trains:

Trains are objects with significant length. So while calculating measures such as speed, distance travelled or time taken by a train, we also take into consideration the length of the train.

For example, the time taken by the train to cross a pole is equal to the time taken by the just one point of the train to cross a distance that is equal to the length of the train.

Average speed:

Suppose to travel a distance of ‘2d’ km, if a person travelled ‘d’ km at a speed of ‘p’ km/h and remaining distance at a speed of ‘q’ km/h, then average speed of the journey

= total distance travelled ÷ total time taken

Time taken to travel first ‘d’ km = (d/p) hours

Time taken to travel next ‘d’ km = (d/q) hours

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Boat and stream:

Problems based on boat and stream is solved mostly using the same concepts as standard time, speed and distance problems.

Basics:

The speed of a boat changes with respect to the direction of travel of the boat with respect to the stream.

Let the speed of a boat in still water be ‘x’ km/h

Let the speed of the stream in which the boat is sailing be ‘y’ km/h

Then, speed of the boat while sailing against the stream i.e. in upstream = (x – y) km/h

Speed of the boat while sailing with the stream i.e. in downstream = (x + y) km/h

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Time, Speed & Distance Questions for Bank Exams 

Question 1: Train A and train B run between station P and station Q. Train A starts at 9:00 AM from station P and after 40 minutes, train B starts from station Q. Train B meets train A after 3 hours of starting and the speed of train A is 84 km/h. If the distance between the station P and station Q is 542 km then find the speed of the train B.   

A) 75 km/h

B) 78 km/h

C) 80 km/h

D) 72 km/h

E) 82 km/h

Question 2: A boy covers 5 rounds of a circular ground of diameter 48 m, around its circumference at the rate of 27 km/hr. Find the time taken by him to cover this distance. [Use π = 3]

A) 96 seconds

B) 84 seconds

C) 102 seconds

D) 108 seconds

E) None of these

Question 3: In a race of 1200 m, A gives B a start of 5 seconds and still manages to win by 5 seconds. In the same race, A gives C a start of 10 seconds and still manages to win by 10 seconds. If in the same race, B gives C a start of 5 seconds, then B will win by how many seconds?

A) 5 seconds

B) 10 seconds

C) 15 seconds

D) 20 seconds

E) Cannot be determined

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Question 4: Find the time taken by a train to cover a distance of 840 km if the speed of train is 40% more than the speed of car and speed of car is 20% more than the speed of a truck which covers 650 km in 26 hours.

A) 10 hours

B) 12 hours

C) 16 hours

D) 20 hours

E) 24 hours

Question 5: Amit goes from point A to point B with a speed of 20 m/s and then comes back to point A from point B with a speed of 28 km/h. Find his average speed in the whole journey.

A) 12.5 m/s

B) 37.5 m/s

C) 40.32 km/h

D) 50 km/h

E) None of these

Question 6: Rajan travelled to Palampur from Delhi through Chandigarh. He travelled from Delhi to Chandigarh a distance of 100 km by cycle and from Chandigarh to Palampur by bus. Average speed of bus is five times the average speed of cycle. If he completed the whole journey of 1100 km in 12 hours, then find the average speed of the bus.

A) 110km/h

B) 50km/h

C) 75km/h

D) 100km/h

E) None of these

Question 7: The distance between two places A and B is 345 km. The 1^st car departs from place A to B, at a speed of 75 km/hr at 11 AM and 2^nd car departs from place B to A at a speed of 45 km/hr at 2 PM. At what time both cars meet each other?

A) 2:00 PM

B) 2:30 PM

C) 4:00 PM

D) 3:00 PM

E) 12:00 PM

Question 8: A train can cross a pole and a bridge 260 meters long in 8 seconds and 21 seconds, respectively. Find the distance covered by the train in 3 hours.

A) 72 km

B) 108 km

C) 144 km

D) 180 km

E) None of these

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Question 9: Aniket was travelling from point X to point Y. He increased his speed by 6 km/h after every hour. He reached his destination in 10 hours. If his initial speed was 40 km/h, then what was his average speed in the whole journey?

A) 72 km/h

B) 62 km/h

C) 67 km/h

D) 69 km/h

E) 56 km/h

Question 10: A train can cross pole and a bridge 405 meters long in 10 seconds and 28 seconds, respectively. Find the time taken by the train to cross a boy running towards train with a speed of 9 km/h.

A) 8 seconds

B) 9 seconds

C) 11 seconds

D) 12 seconds

E) None of these

प्रश्न 1: ट्रेन P और ट्रेन B, स्टेशन P और स्टेशन Q के बीच चलती है। ट्रेन A, स्टेशन P से 9:00 AM पर शुरू होती है और 40 मिनट के बाद, ट्रेन B स्टेशन Q से शुरू होती है। ट्रेन B, ट्रेन A से शुरू होने के 3 घंटे के बाद मिलती है और ट्रेन A की गति 84 km/h है। यदि स्टेशन P और स्टेशन Q के बीच की दूरी 542 km है तो ट्रेन B की गति ज्ञात करें?

A) 75 km/h

B) 78 km/h

C) 80 km/h

D) 72 km/h

E) 82 km/h

प्रश्न 2: 27 km/hr की गति से एक लड़का 48 m व्यास के वृत्ताकार क्षेत्र के 5 चक्कर लगाता है। इस दूरी को तय करने के लिए उसके द्वारा लिया गया समय ज्ञात करें ? [Use π = 3]

A) 96 seconds

B) 84 seconds

C) 102 seconds

D) 108 seconds

E) इनमें से कोई नहीं

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प्रश्न 3: 1200 m की दौड़ में, A, B को 5 seconds की एक शुरुआत देता है और फिर भी 5 seconds से जीत जाता है। उसी दौड़ में A, C को 10 seconds की शुरुआत देता है और फिर भी 10 seconds से जीत जाता है। यदि उसी दौड़ में, B, C को 5 seconds की शुरुआत देता है, तो B कितने seconds से जीत जाएगा?

A) 5 seconds

B) 10 seconds

C) 15 seconds

D) 20 seconds

E) इनमें से कोई नहीं

प्रश्न 4: 840 km की दूरी तय करने के लिए ट्रेन द्वारा लिया गया समय ज्ञात करें यदि ट्रेन की गति कार की गति से 40% अधिक है और कार की गति ट्रक की गति से 20% अधिक है जो 26 hours में 650 km की दूरी तय करती है।

A) 10 hours

B) 12 hours

C) 16 hours

D) 20 hours

E) 24 hours

प्रश्न 5: Amit 20 m/s की गति से बिंदु A से बिंदु B तक जाता है और वापस बिंदु B से बिंदु A 28 km/h की गति से आता है|पुरे यात्रा के दौरान उसकी औसत गति ज्ञात करें|

A) 12.5 m/s

B) 37.5 m/s

C) 40.32 km/h

D) 50 km/h

E) None of these

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प्रश्न 6: Rajan Delhi से Palampur Chandigarh के माध्यम से होते हुए जाता है|वह Delhi से Chandigarh की दुरी को cycle से तय करता है जो कि 100km है|Bus की औसत गति cycle की औसत गति का पांच गुना है|यदि वह 1100 km की कुल दुरी को 12 hours में तय करता है तो bus की औसत गति ज्ञात करें|

A) 110km/h

B) 50km/h

C) 75km/h

D) 100km/h

E) इनमें से कोई नहीं

प्रश्न 7: दो स्थानों A और B के बीच की दूरी 345 km है। पहली कार 11 am पर 75 km/hr की गति से A से B के लिए चलती है और दूसरी कार B से A के लिए 45 km/hr की गति से 2 PM पर प्रस्थान करती है। किस समय दोनों cars एक दूसरे से मिलती हैं?

A) 2:00 PM

B) 2:30 PM

C) 4:00 PM

D) 3:00 PM

E) 12:00 PM

प्रश्न 8: एक ट्रेन एक पोल और 260 metres लम्बे पुल को क्रमशः 8 seconds और 21 seconds में पार करती है|3 hours में ट्रेन द्वारा तय की गई दुरी ज्ञात करें|

A) 72 km

B) 108 km

C) 144 km

D) 180 km

E) None of these

प्रश्न 9: Aniket point X से point Y तक यात्रा कर रहा था। उसने हर घंटे के बाद अपनी गति 6 km/h बढ़ा दी। वह 10 hours में अपने गंतव्य पर पहुंच गया। यदि उनकी प्रारंभिक गति 40 km/h थी, तो पूरी यात्रा में उनकी औसत गति क्या थी?

A) 72 km/h

B) 62 km/h

C) 67 km/h

D) 69 km/h

E) 56 km/h

प्रश्न 10: एक ट्रेन एक पोल और 405 meters लम्बे पूल को क्रमशः 10 seconds और 28 seconds में पार कर सकती है। 9 km/h की रफ़्तार से ट्रेन की ओर दौड़ने वाले लड़के को पार करने के लिए ट्रेन द्वारा लिया गया समय ज्ञात करें ?

A) 8 seconds

B) 9 seconds

C) 11 seconds

D) 12 seconds

E) इनमें से कोई नहीं

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ANSWER KEYS and SOLUTIONS:

Solution 1: B)

Let, the speed of train B be x km/h

So, 84 × (40/60) + 84 × 3 + x × 3 = 542

56 + 252 + 3x = 542

3x = 234, x = 78

Therefore, the speed of train B = 78 km/h

Hence, option b.

Solution 2: A)

Total distance covered by him = 2 × 3 × (48/2) × 5 = 720 metres

Speed of boy = 27 km/hr = 7.5 m/s

Required time taken = 720/7.5 = 96 seconds

Hence, option a.

Solution 3: A)

Let, speed of A, B, and C be A m/s, B m/s, and C m/s respectively.

According to question,

1200/A = (1200 – 5B)/B – 5 … (i)

Also, 1200/A = (1200 – 10C)/C – 10 … (ii)

Comparing equation (i) and (ii), we get,

(1200 – 5B)/B – 5 = (1200 – 10C)/C – 10

1200/B – 5 – 5 = 1200/C – 10 – 10

1200/B = 1200/C – 10

1200/B = (1200 – 5C)/C – 5

Hence, option a.

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Solution 4: D)

Speed of truck = 650/26 = 25 km/hour

So, speed of car = 25 × 1.2 = 30 km/hour

So, speed of train = 30 × 1.4 = 42 km/hour

Therefore, required time = 840/42 = 20 hours

Hence, option d.             

Solution 5: C)

Speed of Amit from point of A to B = 20 × 18/5 = 72 km/h

So the average speed of the whole journey = 2 × 72 × 28/(72 + 28) = 4032/100 = 40.32 km/h

Hence, option c.

Solution 6: E)

Let the average speed of cycle be x km/h.

So, the average speed of bus = 5x km/h

Distance traveled by bus = 1100 – 100 = 1,000 km

So, according to the question: 100/x + 1000/5x = 12

100/x + 200/x = 12

300/x = 12, x = 25 km/h

So, the average speed of the bus = 5 × 25 = 125 km/h

Hence, option e.

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Solution 7: D)

Total distance = 345 km

Distance travelled by 1^st car in 3 hours = 75×3 = 225 km

Remaining distance = 345 – 225 = 120 km

Both cars will meet after (120/120) hours = 1 hour

Therefore, time of meet = 3:00 PM

Hence, option d.

Solution 8: E)

Let the length of the train be‘x’ meters.

According to question: x/8 = (x + 260)/21

21x = 8x + 2080

13x = 2080, x = 160

Speed of the train = 160/8 = 20 m/s = 20 × 18/5 = 72 km/h

So, distance travelled by the train in 3 hours = 72 × 3 = 216 km

Hence, option e.

Solution 9: C)

Total distance travelled by Aniket = (10/2) × {2 × 40 + (10 – 1) × 6} = 5 × (80 + 54) = 670 km

Required average speed = 670/10 = 67 km/h

Hence, option c.

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Solution 10: B)

Let the length of the train be ‘x’ meters.

So according to question: x/10 = (x + 405)/28

28x = 10x + 4050

18x = 4050, x = 225

So, the length of the train = 225 meters

Speed of the train = 225/10 = 22.5 m/s

Speed of the boy = 9 × 5/18 = 2.5 m/s

Relative speed of the train = 22.5 + 2.5 = 25 m/s

So, the time taken by the train to cross the boy = 225/25 = 9 seconds

Hence, option b.

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This brings us to the end of the article. Practice these time, speed & distance questions and ace the wuant section in RBI Assistant prelims exam.

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