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Three boys were running around the track. The first can run 1 lap in 15 min. The second can run 1 lap in 25 min. and the third can run a lap in 10 min. If the boys start running at 12:45, what time will all 3 boys pass each other again?​

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Answer:

At 15:15

Explanation:

Given,

the 1st boy can run a lap in 15 minutes

the 2nd boy can run a lap in 25 minutes

the 3rd boy can run a lap in 10 minutes

Now if they start running at 12:45,they will meet after the time which will be equal to the L.C.M. of their time need to run a lap.


L.C.M. of 15,25 & 10 = 150

So,they will pass each other after 150 minutes or 2 hours & 30 minutes.

If we add it with 12:45 we'll get 15:15 or 3:15 pm

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