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A circus runs two shows, one with a lion and another with an elephant, separately. The show with the elephant runs for 80 minutes, and the show with the lion runs for 120 minutes. Both shows start at 6 pm. At what time will both shows start again at the same time?

A circus runs two shows, one with a lion and another with an elephant, separately. The show with the elephant runs for 80 minutes, and the show with the lion runs for 120 minutes. Both shows start at 6 pm. At what time will both shows start again at the same time? Correct Answer 10:00 pm

Given:

The elephant show runs = 80 m

The lion show runs = 120 m

Both start at 6 pm for the 1st time

Concept used:

For this type of question,

Time of 2nd time commencing = Time at 1st time commence + LCM of time taken by each 

Calculation:

LCM of 80 and 120 = 240

So, 240 minutes = 240/60 = 4 hours

So, Both will again start at 6 + 4 = 10 pm

∴ Both shows will start again at 10 pm.

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