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In a circular race of 800 m length, Ram and Mohan start at speeds of 25 m/sec and 40 m/sec, respectively, at the same time from the same point. After
Question

In a circular race of 800 m length, Ram and Mohan start at speeds of 25 m/sec and 40 m/sec, respectively, at the same time from the same point. After how much time will they meet for the first time at the starting point, when running in the same direction?

A.

136 seconds

B.

120 seconds

C.

152 seconds

D.

160 seconds

Correct option is D

Given:

Ram and Mohan start running on a circular track (length 800 m) from the same point simultaneously with speeds of 25 m/s and 40 m/s
Formula Used:
 Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}​​
Solution:
Ram takes time to complete one round =80025=32sec\frac{800}{25} = 32 sec

Mohan takes time to complete one round = 80040=20sec\frac{800}{40} = 20 sec​​
Both will meet at the starting point = LCM of 32, 20 = 160 secs

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