x and y start togetrtfrom the starting point and on a 4 km circular track in a race of 16 km the ratio of their epeed is 3:7 . how often do they meet on the track in the race if they both run in the clockwise direction?
Answers
Let the speed of ‘x’ be 3s KMPH
Then speed of ‘y’ will be 7s KMPH
Time taken by ‘y’ to complete the race(16Kms) = 16/7s = 2.285714/s
Distance traveled by ‘x’ in same time = 3s*2.285714/s = 6.857143Kms
Case 1: ‘x’ and ‘y’ in Same direction:
Relative distance covered by them = Distance traveled by ‘y’ - Distance traveled by ‘x’ = 16 - 6.857143 = 9.142857Kms
They will meet once in every ‘4kms’ of relative distance = 9.142857/4 = 2.285714
That means, they will meet 2 times
Case 2: ‘x’ and ‘y’ in different direction:
Relative distance covered by them = Distance traveled by ‘y’ + Distance traveled by ‘x’ = 16 + 6.857143 = 22.85714Kms
They will meet once in every ‘4kms’ of relative distance = 22.85714/4 = 5.714286
That means, they will meet 5 times.
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