SOLUTION: Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 4 mi/h. How long will it be before Amanda

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Question 1065407: Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 4 mi/h. How long will it be before Amanda catches up to Ben ?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
                SPEED      TIME       DISTANCE
BEN              2         t+1.5        d
AMANDA           4          t           d


RT=D, constant travel rates rule for rate R, time T, distance D.



Distance for each is the same d.



------------- One and a half hours for Amanda to catch-up to Ben.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along
the same path at 4 mi/h. How long will it be before Amanda catches up to Ben ?
~~~~~~~~~~~~~~~~~~~~~~~~ 

When Amanda started jogging, Ben just was 1.5 hours * 2 mi/h = 3 miles ahead.


Starting from this moment, the distance between them decreases in (4 mi/h - 2 mi/h) = 2 mi/h every hour.


Hence, Amanda will catch up to Ben in  = 1.5 hours.

You can solve this problem by any of these two methods.

They both are correct.


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