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A motor boat covers a distance between the two spots on the river in 9 h and 13 h downstream and upstream respectively . Find the time required by the boat to cover the distance in still water .

A motor boat  covers a distance between the two spots on the river in 9 h and 13 h downstream and upstream respectively . Find the time required  by the boat to  cover the distance in still water .

Grade:11

2 Answers

Khimraj
3007 Points
5 years ago
let speed of river is u and boat is v and distance is d
then
d/(v+u) = 9
d/(v-u) = 13
9v + 9u = d
13v – 13u = d
so v = 22d/(13*9*2) = 11d/117
so required time is d/v = d/(11d/117) = 117/11 = 10.63 hr
Hope it clears...........
 
Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
Dear student

let x be speedof boat in still water

let y be speed of stream

let d be distance

(x+y)9 =d
(x-y)13 =d

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