Question

A boat covers the distance between two
Sp on the river in 8 h and 12 h downstream
and upstream respectively. The time required by
the boat to cover this distance in still water is
​

Answer 1

Answer:

9.6h

Explanation:

let the speed of stream be X kmph

let the speed of boat be Y kmph

let the distance travelled be d km

so for downstream motion:-

(Y+X)8=d ....1 (because both the boat and stream are heading in the

same direction)

so for upstream motion:-

(Y-X)12=d....2 (because the boat and the stream are moving in

opposite direction)

multiplying equation 1 by 6 and equation 1 by 4

so

New equation 1 will be(48Y+48X=6d).....3

New equation 2 will be(48Y-48X=4d).......4

adding equation 3 and 4

we get,

96Y=10d

d/Y=9.6h

And,d/Y is {distance travelled/speed of boat} which is:-

The required by boat to travel the distance in still water that is 9.6h.

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