# Math

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A boat travels 1 km upstream and 1 km back. The time for the round trip is 4 hours. The speed of the stream is 5 km/hr. What is the speed of the boat in still water?

• Math -

let speed of boat be x mph

time upstream = 1/(x-5)
time downstream = 1/(x+5)

1/(x-5) + 1/(x+5) = 4
multiply each term by (x+5)(x-5)

x+5 + x-5 = 4(x^2 - 25)
2x = 4x^2 - 100

4x^2 - 2x - 100 = 0
x = (2 ± √1604)/8
x = 5.256 or x = a negative, which would make no sense

the speed of the boat in still water is appr 5.26 mph

• Math -

a bout travels 1km upstream and 1 km downstream.it took the boat 1 hour for the round trip. the speed of the current is 2 kph. find the speed of the boat in still water.

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