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A child runs at speed v, while an adult runs at speed
Vg. If the adult gives the child a head start of distance
d, how long will it take for the adult to catch the child?
Express your answer in terms of v, and v, and d.
Vc

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The answer for this problem would be "C" but could you explain me why? The reason for this is to understand this kind of problems in the future not only this one.