Question

One trip around a running track Is 440 yards. One jogger takes 8 minutes to complete one lap while another can complete it in 6 minutes. How long will it take for both joggers to arrive together at their starting point if they start at the same time and maintain their jogging paces​

Answer 1

Answer:

24 minutes.

Step-by-step explanation:

In 24 minutes one of the runners has gone around 3 times, and the other has gone around 4 times.

Hope that helps! If you need more help on the subject talk to your math teacher about "least common multiples" or LCM.

Answer 2

The time taken is 24 minutes.

GIVEN

One trip around a running track Is 440 yards. One jogger takes 8 minutes to complete one lap while another can complete it in 6 minutes.

TO FIND

How long will it take for both joggers to arrive together at their starting point if they start at the same time and maintain their jogging paces?

SOLUTION

We can simply solve the above problem as follows;

Total area of track = 440 yards

Time taken by one jogger to cover the track = 8 minutes.

Time taken by second jogger to cover the track = 6 minutes.

Time taken by both joggers to meet = LCM of time taken by both joggers to complete one round

LCM of 6 and 8

2|6, 8

2|3, 4

2|3,2

3|1, 1

LCM = 2 × 2 × 2 × 3 = 24

Hence, The time taken is 24 minutes.

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