A boat goes a certain distance downstream in 4 hours and returns the same distance upstream in 5 hou...........

Quantitative Aptitude (CDS) Boats and Streams

A boat goes a certain distance downstream in 4 hours and returns the same distance upstream in 5 hours. If the speed of the stream is 2 kmph. What is the total distance traveled by boat (up and down)?

120km

160km

180km

150km

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Explanation:

Let speed of boat be "x" and speed of current be "y". Then,
Distance be "d".
(x+y)×4 = (x-y) ×5
= 4×(x+2) = 5× (x-2)
= 4x + 8 = 5x - 10
x = 18kmph
Distance = (18+2) ×4 = 80kmph
Total distance (upstream and downstream both) = 80×2
d = 160 km.