A boatan rows his boat 32 km upstream and 36km downstream in 7 hours. He can row 40 km upstream and 48 km downstream in 9 hours. Find the speed of the stream and that of boat in still water
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let the speed of boat in still water be x km/h.
and speed of the stream be y km/h.
then,
the speed of boat downstream =[x+y]km/h
the speed of boat upstream=[x-y]km/h
also ,
time=distance/speed
therefore
in the first case,
32/x-y + 36/x+y =7
in the second case,
40/x-y + 48/x-y =9
now,
put 1/x-y =a
and 1/x+y =b
we get
32a +36b =7
40a +48b =9
now using any method you can solve it and get the value of x and y.
and speed of the stream be y km/h.
then,
the speed of boat downstream =[x+y]km/h
the speed of boat upstream=[x-y]km/h
also ,
time=distance/speed
therefore
in the first case,
32/x-y + 36/x+y =7
in the second case,
40/x-y + 48/x-y =9
now,
put 1/x-y =a
and 1/x+y =b
we get
32a +36b =7
40a +48b =9
now using any method you can solve it and get the value of x and y.
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