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

A person can row a distance of one km. upstream in ten minutes and downstream in four minutes. What is the speed of the stream? एक व्यक्ति एक किमी. ऊर्ध्वप्रवाह की दूरी दस मिनट में खे सकता है और अनुप्रवाह में चार मिनट में। प्रवाह की गति क्या है?

  1. 5.6 km/hr./किमी./घंटा

  2. 4.5 km/hr./किमी./घंटा

  3. 4 km/hr./किमी./घंटा

  4. 9 km/hr./किमी./घंटा
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let boat speed be b km/hr and stream speed be s km/hr. Upstream speed = (b - s) = 1 km / (10/60) hr = 6 km/hr. Downstream speed = (b + s) = 1 km / (4/60) hr = 15 km/hr. Adding equations: 2b = 21, so b = 10.5 km/hr. Then s = 15 - 10.5 = 4.5 km/hr. The speed of the stream is 4.5 km/hr.

Multiple choice

A boat covers 12 km upstream in 4 hours and can cover the same distance downstream in 3 hours. What is the speed (in km/hr) of the boat in still water? एक नाव 4 घंटे में 12 किमी ऊर्ध्वप्रवाह तय करती है और 3 घंटे में समान दूरी अनुप्रवाह तय करती है। शांत जल में नाव की गति (किमी/घंटा में) क्या है?

  1. 3.5

  2. 3

  3. 2.5

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

Upstream speed = 12/4 = 3 km/hr. Downstream speed = 12/3 = 4 km/hr. Speed in still water = (upstream speed + downstream speed)/2 = (3+4)/2 = 3.5 km/hr.

Multiple choice

A car travels at a speed of 25 m/s for 8 hours. What is the distance (in km) travelled by the car? एक कार 8 घंटे के लिए 25 मीटर / सेकंड की गति से यात्रा करती है। कार द्वारा तय की गई दूरी (किमी में) कितनी है?

  1. 360

  2. 720

  3. 450

  4. 900
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed = 25 m/s, time = 8 hours = 28800 seconds. Distance in metres = 25 × 28800 = 720000 m = 720 km. Always convert time to matching units before calculating distance, or convert speed to km/hr first.

Multiple choice

To cover a distance of 81 km in 1.5 hours what should be the average speed of the car in meters/second? 81 किमी की दूरी 1.5 घंटे में तय करने के लिए मीटर / सेकंड में कार की औसत गति कितनी होगी ?

  1. 10

  2. 15

  3. 12

  4. 9
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed = Distance / Time = 81 km / 1.5 hours = 54 km/hr. Convert to m/s: 54 × (1000 m / 3600 s) = 54 × (5/18) = 15 m/s. The conversion factor from km/hr to m/s is 5/18.

Multiple choice

A man can row 12 km/hr in still water. If the speed of the current is 3 km/hr, he takes 4 hours more in upstream than in the downstream. What is the distance (in km)? एक आदमी स्थिर जल में 12 किमी / घंटा की चाल से तैर सकता है। यदि धारा की चाल 3 किमी / घंटा है, वह ऊर्ध्वप्रवाह में अनुप्रवाह की अपेक्षा 4 घंटे अधिक लेता है। दूरी (किमी में) क्या है?

  1. 30

  2. 45

  3. 60

  4. 90
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Downstream speed = 12 + 3 = 15 km/hr. Upstream speed = 12 - 3 = 9 km/hr. Let distance = d. Then d/9 - d/15 = 4, giving (5d - 3d)/45 = 4, so 2d = 180 and d = 90 km. The time difference of 4 hours arises because upstream is slower. Options A, B, and C are incorrect distances.

Multiple choice

If a car travels a distance with 20% less speed, then it will reach 15 minutes late. What is the usual time (in minutes) taken by the car to travel the same distance? यदि कोई कार 20% कम गति के साथ दूरी तय करती है, तो वह 15 मिनट देरी से पहुंचेगी। समान दूरी तय करने के लिए कार द्वारा लिया जाने वाला सामान्य समय (मिनटों में) क्या है?

  1. 80

  2. 90

  3. 75

  4. 60
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

New speed is 80% of usual. Since speed and time are inversely proportional (for fixed distance), new time = 100/80 × usual time = 1.25 × usual time. This means 25% extra time = 15 minutes. Therefore usual time = 15/0.25 = 60 minutes.

Multiple choice

Quantity I- The speed of a man decreases by 2.5 km every hour. If he travels 17.5km in the first hour, find the total distance after 5 hours Quantity II- A man travels at an average speed of 8kmph and completes a certain distance of his journey on time. If the average speed becomes 6kmph, he becomes 90min late. Find distance?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Speed decreases by 2.5 km/h each hour, starting at 17.5 km/h. Distances per hour: 17.5, 15, 12.5, 10, 7.5. Total = 17.5 + 15 + 12.5 + 10 + 7.5 = 62.5 km. Quantity II: Let distance = D, scheduled time = T. At 8 km/h: T = D/8. At 6 km/h: Time = D/6. Delay = D/6 - D/8 = D/24 = 1.5 hours. Solving: D = 1.5 × 24 = 36 km. Comparing: 62.5 > 36, so Quantity I > Quantity II.

Multiple choice

A bus moving at a speed of 90 km/h takes 1 hour 40 minutes to cover a distance. If the speed is reduced by 30 km/h then in how much time the bus will cover the distance?

  1. 3 hours

  2. 2 hours 30 minutes

  3. 3 hours 20 minutes

  4. 2 hours 40 minutes

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

Distance = Speed × Time = 90 km/h × 5/3 h (1 hour 40 minutes = 100/60 = 5/3 hours) = 150 km. At reduced speed of 60 km/h (90 - 30), time = Distance/Speed = 150/60 = 2.5 hours = 2 hours 30 minutes. This matches option B.

Multiple choice

A bus crosses a man with the speed of 54km/h. the length of the bus is 72 meter. After 10 seconds the man starts his car and ride in the direction of bus moving with the speed of 72 km/h. Find the distance travel by car when it covers the (\frac{2}{6})th length of the bus?

  1. 486 meter

  2. 525 meter

  3. 556 meter

  4. 696 meter

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

Bus speed = 54 km/h = 15 m/s. Bus length = 72 m. Bus covers 72 m in 72/15 = 4.8 seconds. After 10 seconds, man starts car. Bus has already traveled 10 × 15 = 150 m. Car speed = 72 km/h = 20 m/s. Car needs to cover (2/6) × 72 = 24 m relative to bus. Relative speed = 20 - 15 = 5 m/s. Time = 24/5 = 4.8 seconds. Car distance = 4.8 × 20 = 96 m. Total car travel when it reaches 2/6 of bus from start point: At car start, bus is at 150 m. Car needs to reach bus at 150 + 24 = 174 m from origin. Car travels 174 - (150 at car start from origin) + 150 (car start distance from origin) = 324 m... Wait, let me recalculate: Bus origin at t=0. At t=10, bus at 150m, car starts. Car needs to be at position where bus is + 24m from bus nose. At car start, bus nose at 150m. Car needs to reach 150+24 = 174m from origin. Car travels 174m in 174/20 = 8.7 seconds. In 8.7s, bus travels 8.7 × 15 = 130.5m. Bus position = 150 + 130.5 = 280.5m. That doesn't work. The 2/6 is 1/3 of bus length = 24m. When car has covered 24m relative to bus, car is at bus position + 24m. Let t be time after car starts. Car position = 20t. Bus position = 150 + 15t. Car is 24m ahead of bus: 20t = 150 + 15t + 24, 5t = 174, t = 34.8 seconds. Car distance = 20 × 34.8 = 696m.

Multiple choice

A man can row two third of whole distance against the stream in same time in which he covered whole distance with the stream. If the speed of the stream is 2 km/hr. Then find the speed of the boat. एक आदमी धारा के विपरीत कुल दूरी के दो - तिहाई भाग को तय करने में उतना ही समय लता है जितना कि धारा के सापेक्ष कुल दूरी को तय करने में लेता है | यदि धारा की चाल 2 किमी /घंटा है | नाव की चाल ज्ञात कीजिये |

  1. 10 km/hr. / किमी /घंटा

  2. 16 km/hr. / किमी /घंटा

  3. 8 km/hr. / किमी /घंटा

  4. 12 km/hr. / किमी /घंटा
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let boat speed = b, stream speed = 2 km/hr. Downstream speed = b + 2, upstream speed = b - 2. Time for 2/3 distance upstream = time for full distance downstream: (2/3)d/(b-2) = d/(b+2). Cross-multiplying: 2(b+2) = 3(b-2), which gives 2b + 4 = 3b - 6, so b = 10 km/hr. This is a standard boat and stream problem involving time, distance, and relative speeds.

Multiple choice

A man rows 40 km upstream in 8 hours and a distance of 36 km downstream in 6 hours. Then speed of the stream is एक व्यक्ति 40 किमी. की दूरी ऊर्ध्वप्रवाह 8 घंटे में तय करता है और एक 36 किमी. की दूरी 6 घंटे में तय करता है |धारा की चाल है |

  1. 0.5 km/hr. / किमी / घंटा

  2. 1.5 km/hr. / किमी / घंटा

  3. 1 km/hr. / किमी / घंटा

  4. 3 km/hr. / किमी / घंटा
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Speed upstream = 40/8 = 5 km/h (boat speed - stream speed). Speed downstream = 36/6 = 6 km/h (boat speed + stream speed). Let boat speed = b, stream speed = s. Then b - s = 5 and b + s = 6. Adding: 2b = 11, so b = 5.5 km/h. Therefore s = 6 - 5.5 = 0.5 km/h.

Multiple choice

A car can cover 600 km in 16 hours. If the speed is increased by 20 kmph, then the time taken by the car to cover 920 km is एक कार 16 घंटे में 600 किमी की दूरी तय कर सकती है। यदि गति 20 किमी प्रति घंटा बढ़ जाती है, तो कार द्वारा 920 किमी की दूरी तय करने में लगने वाला समय है

  1. 19 hours/घंटे

  2. 18 hours/घंटे

  3. 16 hours/घंटे

  4. 15 hours/घंटे
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Original speed = 600/16 = 37.5 km/h. Increased speed = 37.5 + 20 = 57.5 km/h. Time for 920 km at new speed = 920/57.5 = 16 hours.

Multiple choice

A person swims a distance of 28 km. in the direction of stream in 5 hours and a distance of 13 km. in 5 hours against the stream. What is the velocity of the stream? एक व्यक्ति 28 किमी. की दूरी प्रवाह के अनुदिश 5 घंटों में तैर सकता है और प्रवाह के विरूद्ध 13 किमी. की दूरी 5 घंटों में तैर सकता है। प्रवाह का वेग क्या है?

  1. 1.5 km/hr.

  2. 2 km/hr.

  3. 2.5 km/hr.

  4. 1.8 km/hr.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Downstream speed = 28/5 = 5.6 km/hr. Upstream speed = 13/5 = 2.6 km/hr. Stream velocity = (downstream - upstream)/2 = (5.6 - 2.6)/2 = 3/2 = 1.5 km/hr.

Multiple choice

To cover a distance of 15 km B takes 30 min more than of A. If B doubles his speed then he will cover the same distance in 1 hour less than A. Find the speed of A? 15 किलोमीटर की दूरी तय करने मे B को A से 30 मिनट अधिक लगते हैं । यदि B अपनी गति को दोगुना कर दे तो उसे उसी दूरी को तय करने में A से 1 घंटे कम लगेंगे । A की चाल ज्ञात कीजिए?

  1. 5 kmph/किमी./घंटा

  2. 6 kmph/किमी./घंटा

  3. 6.5 kmph/किमी./घंटा

  4. 5.5 kmph/किमी./घंटा
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A's speed be 'a' kmph and B's speed be 'b' kmph. Time taken by A = 15/a hours. Time taken by B = 15/b hours. First condition: 15/b = 15/a + 0.5 (30 min = 0.5 hour). Second condition: 15/(2b) = 15/a - 1 (1 hour less). From first equation: 15/a = 15/b - 0.5. Substituting in second: 15/(2b) = (15/b - 0.5) - 1 = 15/b - 1.5. Solving: 15/(2b) = 15/b - 1.5, so 7.5/b = 15/b - 1.5, giving 1.5 = 7.5/b, so b = 5 kmph. Then 15/a = 15/5 - 0.5 = 2.5, so a = 15/2.5 = 6 kmph.

Multiple choice

Chandu covers certain distance by bus at a speed of 30km/h, then he return with the speed of 5 km/h by foot. Total time taken by him in whole journey is 4hours and 30minutes. Then find the distance covered by the bus?

  1. 10.28km

  2. 19.28km

  3. 20km

  4. 12km

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

Let distance = d km. Time by bus = d/30 hours, time walking = d/5 hours. Total time = 4.5 hours. So d/30 + d/5 = 4.5. Converting: d/30 + 6d/30 = 7d/30 = 4.5. Therefore d = (4.5 x 30)/7 = 135/7 = 19.286 km. Option B (19.28 km) is approximately correct - there's a minor rounding difference between 19.286 and 19.28, but B is clearly the intended answer. The other options don't match the calculation.