Question

12. Venu and Tanuj are running along a circular track. They take 48 seconds and 56 seconds to

complete a lap respectively. They begin from the starting point at the same time
6) How long does it take for them to meet at the starting point again?

How many laps will each boy have run by then?
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Answer 1

The meet at first time at starting point after 336 seconds,

Vanu have completed 7 laps while Tanuj has completed 6 laps.

Explanation:

Given that Venu and Tanuj take 48 seconds and 56 seconds to

complete a lap respectively.

To meet them again at the startiong point, the time taken must be multiple of 56 and 48.

So, the minimum time required to meet them again at the startiong point is time taken for first time meet.

Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.

Number of laps by Venu

`=(336)/(48)=7`

Number of laps by Tanuj

`=(336)/(56)=6`