Asked by Brent
Suppose a boat has to make a round trip up and down a river. The trip up takes 1 hour and is with the current. The trip back takes 9 hours. Suppose the round trip is a total of 32 miles, and that the boat's speed and the speed of the current are constant. What is the boat's speed and what is the current's speed?
Answers
Answered by
Reiny
Speed of boat with no current --- x mph
speed of current ----- y mph
Assuming 16 miles each way,
time with the current = 1 hr
16/(x+y) = 1
x+y = 16 ----> #1
time against the current = 9 hrs
16/(x-y) = 9
9x - 9y = 16----> 2
you now have two simple equations in 2 unknowns
Use your usual method solving these equations.
Hint: the speeds are not whole numbers
speed of current ----- y mph
Assuming 16 miles each way,
time with the current = 1 hr
16/(x+y) = 1
x+y = 16 ----> #1
time against the current = 9 hrs
16/(x-y) = 9
9x - 9y = 16----> 2
you now have two simple equations in 2 unknowns
Use your usual method solving these equations.
Hint: the speeds are not whole numbers
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