A man and his young child have a race. The child starts out 120 feet ahead of the man. For every 5-foot stride of the man, the child takes a 2-foot stride. How many strides will the man have to take to catch up to the child?

Question

Mathematics

Santiago Callahan

7 January, 07:41

A man and his young child have a race. The child starts out 120 feet ahead of the man. For every 5-foot stride of the man, the child takes a 2-foot stride. How many strides will the man have to take to catch up to the child?

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Answers (1)

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Ismael Hudson · Answer 1

25.92 foot strides

Step-by-step explanation:

The man will take 120/5 = 24 five foot stride to cover the initial 120 foot advantage of the child.

Within this time, the child would have covered an additional 24/5 x 2 = 9.6 extra foot stride.

Within this 9.6 food stride of the child, the man will have to take an additional 9.6/5 = 1.96 strides.

Total foot stride by the man will be 24 + 1.96 = 25.92 foot strides.