Aptitude Time and Distance Solved Questions and Answers

1. Convert 45 km/hr into meters/sec?
Sol: 45 km/hr = (45*5/18)m/sec.
              = 12.5 m/sec.

2.    How many minutes does John take to cover a distance of 400 m, if he runs at a speed of 20 km/hr?
Sol: John’s speed = 20 km/hr
                  = [20*5/18] m/sec
                  = 50/9 m/sec.

3.    While covering a distance of 24 km, a man noticed that after walking for 1 hour and 40 minute, the distance covered by him was 5/7 of the remaining distance. What was his speed in meters per second?
Sol: Let the speed be x km/hr.
Then, distance covered in 1 hr: 40 min. i.e., 1 2/3 hrs = 5x/3 km.
Remaining distance = [24-5x/3] km.
5x/3 = 5/7[24-5x/3]
5x/3 = 5/7[72-5x/3]
7x = 72-5x
12x = 72
x = 6
Hence, speed = 6 km/hr = [6*5/18] m/sec = 5/3m/sec = 1 2/3 m/sec

4.    If a man walks at athe rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station?
Sol: Let the required distance be x km.
Difference in the times taken at two speeds = 12 min = 1/5 hr.
x/5 - x/6 = 1/5
6x - 5x = 6
x = 6.
Hence, the required distance is 6 km.