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 bus travels 100 km in 2 hours. (a) How much time is required to cover 70 km, if the speed remains the same? (b) Find the distance covered by the bus in 5 hours, with the same speed.

  1. (a) 64 minutes (b) 240 km

  2. (a) 84 minutes (b) 250 km

  3. (a) 80 minutes (b) 250 km

  4. (a) 84 minutes (b) 450 km

  5. (a) 80 minutes (b) 259 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The speed is 100 km / 2 hours = 50 km/hr. (a) Time for 70 km = 70 / 50 = 1.4 hours = 84 minutes. (b) Distance in 5 hours = 50 * 5 = 250 km.

Multiple choice

A boat can travel 20 km downstream in 1 hour and the same distance upstream in 2 hours. What is the ratio of the speed of boat to that of the current?

  1. 5 : 2

  2. 3 : 1

  3. 3 : 2

  4. 4 : 1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The downstream speed of the boat is 20 km/h and the upstream speed is 10 km/h. The speed of the boat in still water is the average of these two speeds, which is 15 km/h, and the speed of the current is half their difference, which is 5 km/h. The ratio of the speed of the boat to the speed of the current is 15:5, which simplifies to 3:1.

Multiple choice

A man travelled for 4 hours. During the first 2 hours he travelled a distance of 6 km and in the next 2 hours he travelled a distance of 8 km, what is his average speed?

  1. 2.5 km per hour

  2. 3.5 km per hour

  3. 4.8 km per hour

  4. 5.9 km per hour
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed is total distance divided by total time. Total distance = 6 km + 8 km = 14 km. Total time = 2 hours + 2 hours = 4 hours. Average speed = 14 / 4 = 3.5 km per hour.

Multiple choice

A man covered a certain distance on a scooter. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) was

  1. 20

  2. 36

  3. 37.5

  4. 40
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let distance be D and speed be v. D/v - D/(v+3) = 40/60 = 2/3. Also D/(v-2) - D/v = 40/60 = 2/3. Solving these equations: D/v - D/(v+3) = D/(v-2) - D/v. 2/v = 1/(v+3) + 1/(v-2). Solving for v gives 12 km/h. Then D = 40 km.

Multiple choice

Four runners take turns to run around a 400 m rectangular race course such that one runner runs across one side only. They run with speeds of 'a' m/s, 'b' m/s, 'c' m/s and 'd' m/s, though not necessarily in that order. The values of a, b, c and d are four consecutive numbers such that only one number among a, b, c and d is a composite number. What is the maximum time (Tmax) in which the four runners can cover the whole distance (Tmax is an integer)?

  1. 149 s

  2. 312 s

  3. 289 s

  4. 145 s

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

A train started from point P at a speed of 75 km/hour towards point Q. At the same time, another train started from point Q at a speed of 45 km/hour towards point P. When they meet at point O, it is found that one train travelled 240 km more than the other. What is the distance between two points P and Q?

  1. 530 km

  2. 650 km

  3. 810 km

  4. 960 km

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

Let t be the time until they meet. 75t - 45t = 240, so 30t = 240, t = 8 hours. Total distance = (75+45)*8 = 120*8 = 960 km.