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

The ratio of the speed of a train to that of a car is 16 : 15. Also, a bus covers a distance of 480 km in 8 hours. The speed of the bus is three-fourths the speed of the train. How much distance will the car cover in 6 hours?

  1. 450 km

  2. 480 km

  3. 360 km

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Bus speed = 480/8 = 60 km/hr. Train speed = (4/3) * 60 = 80 km/hr. Car speed = (15/16) * 80 = 75 km/hr. Distance covered by car in 6 hours = 75 * 6 = 450 km.

Multiple choice

In a river flowing at 2 km/hr, a boat travels 30 km upstream and then returns downstream to the starting point. If its speed in still water is 6 km/hr, then find the time taken to cover the whole journey.

  1. 22.25 hours

  2. 11.25 hours

  3. 9.5 hours

  4. 10 hours

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

Upstream speed = 6 - 2 = 4 km/hr. Downstream speed = 6 + 2 = 8 km/hr. Time upstream = 30/4 = 7.5 hours. Time downstream = 30/8 = 3.75 hours. Total time = 7.5 + 3.75 = 11.25 hours.

Multiple choice

A man travelled by car from cities X to Y. It took him 80 minutes to complete the journey. For first 20 minutes, his average speed was 36 km/hr, for next 30 minutes, it was 48 km/hr and for the remaining 30 minutes, it was P km/hr. If the total distance travelled by him was 92 km, then find the average speed of the car in last 30 minutes.

  1. 96 km/hr

  2. 108 km/hr

  3. 112 km/hr

  4. 116 km/hr

  5. 120 km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total distance = 92 km. Dist1 = 20/60 * 36 = 12 km. Dist2 = 30/60 * 48 = 24 km. Dist3 = 92 - 12 - 24 = 56 km. Time3 = 30/60 = 0.5 hours. Speed3 = 56 / 0.5 = 112 km/hr.

Multiple choice

Directions: In the following question, you have to compare Quantity I and Quantity II and then determine which of the following options describes the comparison. Quantity I. 18 km Quantity II. Distance between P and Q when a person in a ship travels upstream from Q to P and downstream from P to Q in 3 hours if the speed of the ship in still water is 9 km/hr and the speed of the current is 3 km/hr.

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Upstream speed = 9-3=6. Downstream = 9+3=12. Let distance be D. Time = D/6 + D/12 = 3. (2D+D)/12 = 3. 3D/12 = 3. D/4 = 3. D = 12. Quantity I (18) > Quantity II (12).

Multiple choice

I have to reach Delhi from my home which is 288 km. I have a car and a bike to cover this distance. I can cover 288 km in 8 hours by bike. My speed in car is double than that on bike. 3/4 of speed of car is equal to that of bus. How much distance will be left uncovered if I go by bus for 5 hours?

  1. 60 km

  2. 50 km

  3. 20 km

  4. 18 km

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

Bike speed = 288/8 = 36 km/h. Car speed = 2 * 36 = 72 km/h. Bus speed = 3/4 * 72 = 54 km/h. Distance covered by bus in 5 hours = 54 * 5 = 270 km. Distance left = 288 - 270 = 18 km.

Multiple choice

A train starts moving at the speed of 60 kmph with its speed increasing every 3 hours by 8.5 kmph. In how many hours will the train cover 920 km?

  1. 10 hours

  2. 12.5 hours

  3. 13 hours

  4. 14.5 hours

  5. 15 hours
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed increases every 3 hours. 0-3h: 60 kmph (dist 180). 3-6h: 68.5 kmph (dist 205.5). 6-9h: 77 kmph (dist 231). 9-12h: 85.5 kmph (dist 256.5). Total dist = 180 + 205.5 + 231 + 256.5 = 873. Remaining dist = 920 - 873 = 47. Next speed = 94 kmph. Time = 47 / 94 = 0.5 hours. Total time = 12 + 0.5 = 12.5 hours.

Multiple choice

A boat starts from A and move towards B. Another boat from B, with the same velocity as that of first boat, starts moving towards A. They meet at a point which is 10 km towards B from exactly half way from A to B and the distance between A and B is 60 km. What is the ratio of speed of boat to that of water?

  1. 2 : 1

  2. 3 : 2

  3. 3 : 1

  4. 4 : 1

  5. 5 : 2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Distance = 60 km. Midpoint = 30 km. Meeting point is 10 km towards B from midpoint, so 40 km from A and 20 km from B. Boat 1 travels 40 km downstream, Boat 2 travels 20 km upstream. Let v be boat speed, u be water speed. Time taken is equal: 40/(v+u) = 20/(v-u). 2(v-u) = v+u => 2v - 2u = v + u => v = 3u. Ratio v:u = 3:1.

Multiple choice

Two places A and B are 100 km apart on a highway. One car starts from A and the other from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the car running faster?

  1. 60 km/hr

  2. 50 km/hr

  3. 40 km/hr

  4. 32 km/hr
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let speeds be u and v (u > v). Same direction: 100 / (u - v) = 5, so u - v = 20. Opposite direction: 100 / (u + v) = 1, so u + v = 100. Adding equations: 2u = 120, u = 60.