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 certain distance between two villages is covered at a certain speed. If half of this distance is covered in double the time at new speed , then the ratio of the initial speed to the new speed is

  1. 2 : 1

  2. 1 : 2

  3. 4 : 1

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

Let distance be D, initial speed be S1, new speed be S2. Time taken for D is T. Half distance D/2 is covered in 2T. So, D/2 = S2 * 2T. Since D = S1 * T, substitute: (S1 * T) / 2 = S2 * 2T. S1/2 = 2 * S2. S1/S2 = 4/1.

Multiple choice

Uday and Hrithik start at the same time to travel towards each other on a straight road at respective speeds of 140 km/hr and 150 km/hr. When they meet, it was found that one of them had covered 20 mts more than the other. Find the initial distance between them (in mts).

  1. 290

  2. 580

  3. 2900

  4. 5800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = 140 + 150 = 290 km/hr. Ratio of speeds = 140:150 = 14:15. Distance covered ratio = 14:15. Difference in distance = 1 part = 20 meters. Total distance = 14+15 = 29 parts = 29 * 20 = 580 meters.

Multiple choice

On a particular day, 3 friends, Anisha, Tanisha and Minisha start riding their mopeds from the same place at the same time in the morning and return back together to the same place at the same time in the evening. On reading their vehicle speedometers, the three friends realise that they had driven their mopeds at average speeds of 40kmph, 45 kmph and 35 kmph respectively. Find their average speed for the entire journey.

  1. 42 kmph

  2. 38 kmph

  3. 37.5 kmph

  4. 40 kmph
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Minu is faster than Tinu. Minu and Tinu each walk 240 km. The sum of their speeds is 70 km/hr and the sum of times taken by them is 14 hours. Then, Tinu's speed is equal to?

  1. 20 km/hr

  2. 40 km/hr

  3. 30 km/hr

  4. 35 km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let speeds be M and T. M+T=70. Time = 240/M + 240/T = 14 => 240(M+T)/(MT) = 14 => 240(70)/(MT) = 14 => MT = 1200. We have M+T=70 and MT=1200. Quadratic: x^2 - 70x + 1200 = 0 => (x-30)(x-40)=0. Speeds are 30 and 40. Since Minu is faster, M=40, T=30.