A motor boat is 24 km/hr in still water takes 1 hour more to go 32 km upstream than to return downstream to the same spot. Find the speed of stream?
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3
Answer:
PLS ODNT REP DOING FOR POINTS
Step-by-step explanation:
Answered by
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Answer:
Step-by-step explanation:
let speed of stream =x
speed of motorboat = 24 km/h
distance= 32km
time taken by motorboat to go downstream= 32/(x+ 24) h
time taken to go upstream = 32/(24-x)
32/(x+24) + 1 = 32/(24- x)
=32/(24- x) - 32/(x+24) = 1
=32(x+24) - 32(24-x) = (24-x)(x+24)
=32x + 32*24 - 32*24 + 32x = 242 - x2
=64x= 576 - x2
= x2 +64x - 576=0
=x2 +72x - 8x -576 = 0
= x(x+72) - 8(x-72) =0
= x -8 = 0 or x+72=0
= x=8km/h as x cant be -72 which is negative
so speed of stream is 8km/h
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