# math

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A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes and the return trip takes 15 minutes. What is the speed of the current?

• math -

at what speed does current is in relative to water

• math -

let spped of current be X, when the boat goes upstream, the actual speed of boat= speed of boat-speed of current;when the boat goes downstream, the speed =speed of boat+speed of current

distance=speed x time
upstream: (16-X)x 1/3
downstream:(16+X)x1/4

since the total distance of the trip doesnt change,
(16-X)x 1/3=(16+X)x1/4

solve for x,

ps:the speed of boat is 16miles/hour,
dont forget to convert minutes into hour

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