Question

Two people A and B started running from a same point on a circular track of length 400 m in opposite directions with initial speeds of 10 m/s and 40 m/s respectively. Whenever they meet, A’s speed doubles and B’s speed halves. After what time from the start will they meet for the third time?​

Answer 1

Time taken to meet for the 1st time = 400/10+40 = 8 sec, since they are moving in opposite direction

Now A’s speed = 20 m/s and B’s speed = 20 m/s ⇒ Time taken to meet for the 2nd time = 400/40+10 = 10 sec

Now A’s speed = 10 m/s and B’s speed = 40 m/s ⇒ Time taken to meet for the 3rd time = 400/10+10 = 8 sec

⇒ Total time to meet for the third time = (8 + 10 + 8) = 26 sec

Answer 2

Answer:

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Step-by-step explanation:

=> Time taken to meet for the 1st time = 400/10+40 = 8 sec,

=> since they are moving in opposite direction

=> Now A’s speed = 20 m/s and B’s speed = 20 m/s

⇒ Time taken to meet for the 2nd time = 400/40+10 = 10 sec

=> Now A’s speed = 10 m/s

and

=> B’s speed = 40 m/s

⇒ Time taken to meet for the 3rd time = 400/10+10 = 8 sec

⇒ Total time to meet for the third time = (8 + 10 + 8) = 26 sec

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