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Question

a circular field has a circumference of 480 km. Three cyclists Abishek, Varun and Gautham start together and can cycle at speeds of 10 km/hr, 12 km/hr, 15 km/hr respectively, round the circular field.After how many hours will they meet again at the starting point?

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Solution

Time taken by Abhishek to complete the circle => 480/10 = 48 hrs
Time taken by Abhishek to complete the circle => 480/12 = 40 hrs
Time taken by Abhishek to complete the circle => 480/15 = 32 hrs

To find when they each meet at starting point we need to find LCM of 48,40 and 32 = 480

Therfore the meet each other at starting point in 480 hrs

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