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

Two cyclists begin to ride towards each other from the opposite ends of an 1800-m track at the speeds of 28 kmph and 26 kmph. As they set off, a bird dashes from the cap of one of the cyclists to the cap of the other cyclist at 90 kmph and having done so, it reverts to the cap of the first cyclist and thus, to and fro till the two cyclists meet. How much total distance does the bird fly?

  1. 3 km

  2. 3.5 km

  3. 4.2 km

  4. 4.8 km

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

The cyclists meet when the distance between them is covered at their relative speed. Relative speed = 28 + 26 = 54 kmph. Time to meet = 1.8 km / 54 kmph = 1/30 hours. The bird flies at 90 kmph for the entire duration. Distance = 90 * (1/30) = 3 km.

Multiple choice

A man travels 600 km partly by train and partly by car. If he covers 400 km by train and the rest by car, it takes him 6 hours and 30 minutes. But if he travels 200 km by train and the rest by car, he takes half an hour more. Find the speed of the train and the car.

  1. 100 km/hr and 80 km/hr

  2. 90 km/hr and 80 km/hr

  3. 200 km/hr and 80 km/hr

  4. 40 km/hr and 50 km/hr

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

Let T be train speed and C be car speed. 400/T + 200/C = 6.5 and 200/T + 400/C = 7. Solving this system: 1/T = 1/100 and 1/C = 1/80. Thus, T = 100 km/hr and C = 80 km/hr.