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Question : In a circular race of 1500 m. Anil and Bilal start from the same point and at the same time with speeds of 36 km/hr and 54 km/hr respectively. When will they meet again for the first time on the track when they are running in the same direction?

Option 1: 300 sec

Option 2: 250 sec

Option 3: 140 sec

Option 4: 320 sec


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 300 sec


Solution : Speed of Amal = 36 km/hr = 36 × $\frac{5}{18}$ = 10 m/s
Speed of Bimal = 54 km/hr = 54 × $\frac{5}{18}$ = 15 m/s
Time taken by Amal to complete one round = $\frac{1500}{10}$ = 150 sec
Time taken by Bimal to complete one round = $\frac{1500}{15}$ = 100 sec
They will meet at the starting point at a time which is the LCM of the timings taken by each of them to complete one full round. i.e., the LCM of 150 and 100 which is 300 sec.
Hence, the correct answer is 300 sec.

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