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Sagot :
If John is 20.0 meters away from me and he is running away from me at 5.0 m/s. I sprint at 7.0 m/s to catch up. Then, I will take 10 seconds to reach him.
We know that,
Speed = Distance / Time
Time = Distance / Speed
Given that,
My speed = 7 m/s
John's speed = 5 m/s
Distance I need to cover to catch up John = ( 20 + x ) m
Distance John will cover before I catch up to him = ( x ) m
Since the time taken by both of us to reach that point is same,
( 20 + x ) / 7 = x / 5
100 + 5x = 7x
2x = 100
x = 50 m
Time required = Distance / Speed = 50 / 5
Time required = 10 seconds
It will take me 10 seconds to reach John.
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