A and B walk together around a circular path whose
circumference is 35 kms. They start from the same
point in the same direction. The speed of A is 4 kmph.
and that of B is 5 kmph. After what time will they be
together again at the starting point?
(1) 15 hours (2)21 hours (3) 35 hours(4) 42 hours
Answers
After 35 hours they will be together again at the starting point.
Step-by-step explanation:
Required Formula:
- Time = Distance/Speed
The circumference of a circular path = Distance covered by A and B = 35 km
Speed of A = 4 km/hr
Speed of B = 5 km/hr
Therefore,
The time taken to complete the revolution by A = [35/4] hr
And,
The time taken to complete the revolution by B = [35/5] hr
We know that in order to find the time they will be together again at the starting point, we need to calculate the L.C.M. of the time taken by A and B to complete 1 revolution of the circular path.
Therefore,
The required time is,
= LCM of [(35/4), (35/5)]
= [L.C.M. of the numerators] / [H.C.F of the denominators]
= [35] / [1]
= 35 hours
Thus, A & B will meet again after 35 hours at the starting point.
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