Question
Download Solution PDFThree bikes, A, B and C, start racing at the same time and from the same point in the same direction in a circular path. A completes a round in 56 sec, B in 48 sec and C in 70 sec . After what time will they meet again at the starting point?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Time taken by A to complete a round = 56 sec
Time taken by B to complete a round = 48 sec
Time taken by C to complete a round = 70 sec
Calculation:
Finding LCM of 56, 48, and 70:
Prime factorization of 56 = 23 × 7
Prime factorization of 48 = 24 × 3
Prime factorization of 70 = 2 × 5 × 7
LCM = 24 × 3 × 5 × 7
⇒ LCM = 16 × 3 × 5 × 7
⇒ LCM = 16 × 105
⇒ LCM = 1680 seconds
1680 seconds = 1680 / 60 minutes = 28 minutes
They will meet again at the starting point after 28 minutes.
Last updated on Jun 11, 2024
-> CRPF Head Constable 2024 Detailed Notification has been released!
-> A total of 282 vacancies have been announced for both Male and Female candidates.
-> Interested candidates can apply online from 9th June to 8th July 2024.
-> The selection process includes a Computer-Based Test, Skill Test, Physical Standard Test (PST), Document Verification, and Detailed Medical Examination (DME).
-> Refer to CRPF Head Constable Previous Year Papers here!