Average Boat Speed

The speed of the boat is 36 kmph higher than that of the stream in which it travels . if it can travel 828 km downstream in 18 hours and the same in upstream in

23 hours , its average speed is __________.

(A) 36 kmph
(B) 41 kmph
(C) 46 kmph
(D) 31 kmph.

Questions by arvinth_ceg

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hydsarema

  • Sep 28th, 2008
 

Here the average speed of the boat is 41

initially let the speed of the stream be x

then  36+x=828/18=46

therefore speed of stream is 10.

while going upstream the speed of the boat will be reduced by 10 as it is against the stream flow.
but it travelled in 23 hours i.e 828/23=36.i.e the net speed upstream was 36.

ie the speed of the boat was increased x-10=36.i.e x=46.

downstream=36(speed of boat)
upstream=46(speed of boat)
average=41

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