LCM and HCF Practice Test 3

Question : 37 of 40

Marks: +1, -0

Three friends A, B and C started walking in a circular park whose circumference is 2.4 km. They walked at the rate of 15 m/sec, 20 m/sec and 30 m/sec in the same direction. How long it will take for them to be together again at the same place?

5 minutes
152 seconds
15 minutes
8 minutes
Cannot be determined

Validate

Solution:

Time taken by A

= {2,400}/15 = 160

seconds
Time taken by B

={2,400}/20=120

seconds
Time taken by C

={2,400}/30= 80

seconds
The LCM of 160, 120 and 80 = 480 seconds = 8 minutes.
Hence, they will be together at the same place after 8 minutes.

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