A boat takes 1 hour longer to go 36 km up a river than
to return. If the river flows at 3 km/hr, find the rate at
which the boat travels in still water.
please answer fast in step by step explanation
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Answer:
15 km/hr
Step-by-step explanation:
Let x be speed of boat in still water
To go upstream = x-3
To go downstream = x+3
Upstream - Downstream = x-3 - x+3
#by cancelling the equation we get = 1
now, A.T.Q
36/x-3 - 36/x+3 = 1
now reciprocal x digits:
36 x (x+3) - 36 x (x-3) = 1
36x + 108 - 36x + 108 = (x+3) (x-3) = x2 - 9
now,
x2-9 = 116
x2 = 116 + 9 = 225
x2 = 225
(((x = 15 km/hr )))
hope it helps you
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