In a relay event at a Kolkata sports meet, runner A takes 252 seconds and runner B takes 308 seconds to complete one lap. They start together. The coach wants the longest time interval (a whole number of seconds) that exactly measures both their lap times. What is that interval (in seconds)?

Question

Accepted Answer

28. Longest interval = HCF(252, 308). 252 = 2^2 x 3^2 x 7, 308 = 2^2 x 7 x 11; HCF = 2^2 x 7 = 28 s.

In a relay event at a Kolkata sports meet, runner A takes 252 seconds and runner B takes 308 seconds to complete one lap. They start together.
The coach wants the longest time interval (a whole number of seconds) that exactly measures both their lap times.
What is that interval (in seconds)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 HCF and LCM practice

In a relay event at a Kolkata sports meet, runner A takes 252 seconds and runner B takes 308 seconds to complete one lap. They start together.The coach wants the longest time interval (a whole number of seconds) that exactly measures both their lap times.What is that interval (in seconds)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 HCF and LCM practice

In a relay event at a Kolkata sports meet, runner A takes 252 seconds and runner B takes 308 seconds to complete one lap. They start together.
The coach wants the longest time interval (a whole number of seconds) that exactly measures both their lap times.
What is that interval (in seconds)?