A boat covers 12km upstream and 18km downstream in 3hrs. While it covers 36km up stream and 24km downstream in 6(1/2) hrs. Find velocity of the stream?
a.1.5kmph
b.1kmph
c.2kmph
d.2.5kmph.
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Answer:
2 km/h
Explanation:
let the upstream velocity = u1 .
let the downstream velocity = u2
12/ u1 + 18/u2 = 3 hours
similarly
36/ u1 + 24/u2 = 13/2 hours
36/ u1 + 54/u2 = 9 = 18/2
30/u2 = 5/2 , u2 = 12
36/u1 = 9/2 , u1 = 8
Now let the boat velocity = b and the stream velocity = s
upstream u1 = b - s = 8
down stream u2 = b + s = 12
s = 2 km/h
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