Quantitative Aptitude

Time, Speed and Distance

2,165 Questions
All Core formulas and unit conversion 441 Boats and streams effective speed 396 Relative speed, meetings, and overtaking 375 Average speed 362 Early and late arrival 321 Proportional relationships 202 Stoppage time per hour 35 Train and stationary or moving object crossing 17 Races and dead heats 16

Time, Speed and Distance Questions

Multiple choice

If Ram walks 40 km at 5 km/hr, he will be late by 1 hour and 20 minutes. If he walks at 8 km per hr, how early from the fixed time will he reach?

  1. 1 hour and 15 minutes

  2. 1 hour and 25 minutes

  3. 1 hour and 40 minutes

  4. 1 hours and 30 minutes

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

At 5 km/hr, walking 40 km takes 8 hours. Since he's late by 1 hour 20 minutes, the fixed time is 8 hours - 1 hour 20 minutes = 6 hours 40 minutes. At 8 km/hr, he covers 40 km in exactly 5 hours, arriving 6 hours 40 minutes - 5 hours = 1 hour 40 minutes early.

Multiple choice

A man travels a certain distance by train at 25 km/hr and walks back at 4 km/hr. The whole journey took 5 hr 48 min. What distance did he travel by train?
  1. $64000 meters$
  2. $20000 meters$
  3. $74000 meters$
  4. $72000 meters$
  5. $70000 meters$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If d is the one-way distance, then time by train = d/25 and time walking = d/4. Total time is d/25 + d/4 = 5 hr 48 min = 29/5 hours. Solving: 29d/100 = 29/5, so d = 20 km = 20000 meters. The key is writing the total time equation and solving for d.

Multiple choice

Two motorboats A and B, start simultaneously from the two ends P and Q of a river in downstream and upstream respectively. The speed of the motorboat A in still water is 200% more than that of motorboat B. If the distance between P and Q is 120 Km and they meet each other after 5 hours then how long the motorboat A will take to travel 90 km in still water?

  1. 5 hours

  2. 6 hours

  3. 8 hours

  4. Cannot be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let motorboat B's speed in still water be v km/h. Then motorboat A's speed = v + 200% of v = 3v km/h. Let river current speed be c km/h. Downstream speed of A = 3v + c. Upstream speed of B = v - c. When they meet after 5 hours: (3v + c) × 5 + (v - c) × 5 = 120. Solving: 15v + 5c + 5v - 5c = 120, so 20v = 120, v = 6 km/h. Motorboat A's speed in still water = 3v = 18 km/h. Time for 90 km = 90/18 = 5 hours.

Multiple choice

Dhriti can swim 3 km/hr. in still water. If the velocity of the stream is 2 km/hr., find the distance travelled by her in upstream and downstream if the total time of travel is 12 hr.

  1. 30

  2. 20

  3. 15

  4. 10
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Upstream speed = 3 - 2 = 1 km/h. Downstream speed = 3 + 2 = 5 km/h. Let upstream distance = downstream distance = d. Total time: d/1 + d/5 = 12. Multiplying by 5: 5d + d = 60, so 6d = 60 and d = 10 km. Total distance = 10 + 10 = 20 km traveled, but the question asks for "the distance travelled by her" in each direction, which is 10 km. Option D is correct.

Multiple choice

Abhishek can swim at a speed of 12 km per hour in stagnant water. In order to cover the same distance in the river, it took twice as long in upstream than downstream. Calculate the speed of the river.

  1. 4

  2. 7.5

  3. 9.2

  4. 10.5

  5. 7.1
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let boat speed = 12 km/h and river speed = r km/h. Downstream speed = 12 + r, upstream speed = 12 - r. For same distance d: time ratio is 2:1, so upstream time = 2 × downstream time. Therefore d/(12-r) = 2 × d/(12+r), which gives 12+r = 2(12-r). Solving: 12+r = 24-2r, so 3r = 12 and r = 4 km/h.

Multiple choice

A train is running at the speed of 90 kmph. Train has to reach to an station 360 km away. If train stops for 3 minutes after every 60 km, find the time taken by it to reach that station.

  1. 4 hrs 18 min

  2. 4 hrs 15 min

  3. 5 hrs 18 min

  4. 4 hrs 20 min

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Running time = 360/90 = 4 hours. The train stops after every 60 km, so it makes 360/60 - 1 = 5 stops. Total stopping time = 5 × 3 = 15 minutes. Total time = 4 hours 15 minutes.

Multiple choice

A man travel from Kanpur to Lucknow at 90 km/hr and from Lucknow to Varanai at 75km/hr.The distance between Kanpur and Varanasi is 522km. If his average speed is 87km/hr. Find the distance between Kanpur and Lucknow (in km)? एक आदमी कानपुर से लखनऊ तक 90 किमी / घंटा और लखनऊ से वनारस तक 75 किमी / घंटा की चाल से यात्रा करता है। कानपुर और वाराणसी के बीच की दूरी 522 किमी है। यदि उसकी औसत गति 87 किमी / घंटा है। कानपुर और लखनऊ (किमी में) के बीच की दूरी ज्ञात कीजिये।

  1. 252

  2. 292

  3. 432

  4. 90

  5. None of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x = Kanpur to Lucknow distance, then (522-x) = Lucknow to Varanasi distance. Total time = x/90 + (522-x)/75. Average speed = total distance / total time = 87. Solving: 522/87 = x/90 + (522-x)/75, which gives x = 432 km. Option C is correct. Options A (252 km) and D (90 km) don't satisfy the average speed condition.

Multiple choice

A man can row a boat at 10kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 80km down the stream? एक व्यक्ति शान्त जल में 10किमी/घंटा की चाल से एक नाव खे सकता है। यदि धारा की गति 6 किमी प्रति घंटे है, तो व्यक्ति को धारा के अनुप्रवाह में 80 किमी खेने में कितना समय लगेगा ?

  1. 2 hours 2 घंटे

  2. 3.5 hours 3.5 घंटे

  3. 5 hours 5 घंटे

  4. 7.5 hours 7.5 घंटे

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Speed in still water = 10 km/h. Stream speed = 6 km/h. Downstream speed = 10 + 6 = 16 km/h. Time = Distance/Speed = 80/16 = 5 hours.

Multiple choice

A Boat took 3(1/2) hours less to travel a distance downstream than to travel the same distance upstream. If the speed of the boat in still water is 15 Km/hrs. and speed of a stream is 7 Km/hrs. then find total distance travelled by boat? एक नाव निश्चित दूरी को धारा की दिशा में और धारा के विपरीत दिशा में यात्रा करने में 3(1/2) घंटे का कम समय लेती है| यदि शांत जल में नाव की गति 15 किमी / घंटा है और धारा की गति 7 किमी / घंटा है। तो नाव द्वारा तय की गई कुल दूरी ज्ञात करें?

  1. 36 km 36 किमी

  2. 52 km 52 किमी

  3. 44 km 44 किमी

  4. 66 km 66 किमी

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Boat speed = 15 km/hr, stream speed = 7 km/hr. Downstream speed = 22 km/hr, upstream = 8 km/hr. Time difference: d/8 - d/22 = 3.5 = 7/2. Solving: d(22-8)/(8×22) = 7/2, 14d/176 = 7/2, d = 44 km. Option A (36) would give 3.27 hr difference, Option B (52) would give 4.71 hr difference.

Multiple choice

Naimish when increasing his speed from 60 km/hr to 80 km/hr. He takes 2 hours less than the usual time to cover a certain distance. What is distance usually covered by Naimish? नैमिष जब अपनी गति 60 किमी / घंटा से बढ़ाकर 80 किमी / घंटा कर लेता है। एक निश्चित दूरी तय करने में उसे सामान्य समय से 2 घंटे कम लगते हैं। आमतौर पर नैमिष द्वारा तय की गई दूरी क्या है?

  1. 260

  2. 320

  3. 480

  4. 460

  5. None of these इनमे से कोई नही|
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Use the formula: Difference in time = (Distance/Speed1) - (Distance/Speed2). Given: D/60 - D/80 = 2 hours. Solve: D(1/60 - 1/80) = 2, so D(4/240 - 3/240) = 2, giving D(1/240) = 2, thus D = 480 km. Option C is correct.