From a point on a circular track 5km long A, B and C started running in the same direction at the same time with speed of $2\frac{1}{2}$ km… — Answer & Discussion

From a point on a circular track 5km long A, B and C started running in the same direction at the same time with speed of $2\frac{1}{2}$ km per hour, 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after

A30 hours
B6 hours
C10 hours
D15 hours

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Discussion 2

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CCommunity20 Jan 2018

I think option 3 is the right answer

CCommunity09 Apr 2018

A makes one complete round of the circular track in $\frac{5}{\frac{5}{2}}$ = 2 hours

B in $\frac{5}{3}$hours and c in $\frac{5}{2}$ hours

That is after 2 hours A is at the starting point, B after $\frac{5}{3}$hours and c in $\frac{5}{2}$ hours

Hence the required time = LCM of 2, $\frac{5}{3}$ and $\frac{5}{2}$ = $\frac{lcm of 2,5,5}{hcf of 3,2} \frac{10}{2}$ = 10 hours