A person X is running around a circular track completing one round every 40 seconds. Another person Y running in the opposite direction meets X every 15 second. The time, expressed in seconds, taken by Y to complete one round is
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Let me help you with this question. Given that, a person X is running around a circular track completing one round every 40 seconds. Another person Y running in the opposite direction meets X every 15 second. We have to calculate the time taken by Y to complete one round.
As X is completing a round in 40 seconds. We suppose that, Y completes the same round in ω seconds. They meet each other after 15 seconds. So, according to the given conditions,
1 / 40 + 1 / ω = 1 / 15
1 / ω = 1 / 15 - 1 / 40
1 / ω = (8 - 3) / 120
1 / ω = 5 /120
ω = 120 / 5
ω = 24
which clearly shows that Y takes 24 seconds to complete one round.
Hope it will help you. Thanks.
As X is completing a round in 40 seconds. We suppose that, Y completes the same round in ω seconds. They meet each other after 15 seconds. So, according to the given conditions,
1 / 40 + 1 / ω = 1 / 15
1 / ω = 1 / 15 - 1 / 40
1 / ω = (8 - 3) / 120
1 / ω = 5 /120
ω = 120 / 5
ω = 24
which clearly shows that Y takes 24 seconds to complete one round.
Hope it will help you. Thanks.
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