A boat travels upstream for 3 hrs. The return trip requires 2 hours. If the speed of the current is 2 kph...?


let:
u speed of boat in still water,
s distance travelled each way.

upstream boat travels @ u - 2 km/hr.
s = 3(u - 2) ...(1)

downstream boat travels @ u + 2 km/hr.
s = 2(u + 2) ...(2)

equating 2 values of s:
3(u - 2) = 2(u + 2)
3u - 6 = 2u + 4
3u - 2u = 6 + 4
u = 10 km/hr.

what speed of boat in still water?

solution help, too.

in advance! :)


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