The speed of a stream is 4 mph. A boat travels 10 miles upstream in the same time it takes to travel 18 miles downstream. What is the speed of the boat in still water?
The speed is
mph.

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Answer:

This is an RTD question. Here is a table based on the given information:

up/down . . . .rate . . . .time . . . .distance

upstream . . . . r-4 . . . . T . . . . 7

downstream . . . . r+4 . . . . T . . . .15

Now, rate x time = distance, so

time = distance / rate.

solve each for T and we get

T = (7/(r-4))

T = (15/(r+4))

set the times equal and we get

7%2F%28r-4%29+=+15%2F%28r%2B4%29

cross multiply to get

7r+%2B+28+=+15r+-+60

subtract 7r to get

28+=+8r+-+60

add 60 to both sides to get

88+=+8r

divide by 8 to get

r+=+8tep

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