SOLUTION: My brother and I walk the same route to school every day. My brother takes 40 minutes to get to school and it takes me 30 minutes. Today, my brother left 8 minutes before I did.
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Question 260463: My brother and I walk the same route to school every day. My brother takes 40 minutes to get to school and it takes me 30 minutes. Today, my brother left 8 minutes before I did. How long will it take me to catch up with him? Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! This is an RTD problem. Here is a table based on the given information:
brothers . . . . . . . . rate . . . . . . . . . .time . . . . . . . . . .distance
brother . . . . . . . . . .D/40 . . . . . . . .. .T+8 . . . . . . . . . . . .D
me . . . . . . . . . . . . . D/30. . . . . . . . . .T . . . . . . . . . . . . . .D
you want to catch up to brother, so the distances must be equal.
(i)
cross multiply to get
(ii)
simplify to get
(iii)
subtracting, we get
(iv)
divide by 10D to get
(v)
You will catch up after 24 minutes.
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