A motor boat whose speed is 24 km/hr in still water takes 1 hr more to go 32 km upstream than to return downstream to same spot. Find speed of stream.

Asked by adalroshan2464 | 10th May, 2019, 10:30: AM

Expert Answer:

speed space of space boat space equals space 24 km divided by hr
speed space of space stream space equals space straight x space km divided by hr
upstream space journey
time space equals space fraction numerator 32 over denominator 24 minus straight x end fraction space hrs
down space stream
time equals fraction numerator 32 over denominator 24 plus straight x end fraction space hrs
difference space equals 1
1 equals fraction numerator 32 over denominator 24 minus straight x end fraction minus fraction numerator 32 over denominator 24 plus straight x end fraction
1 over 32 equals fraction numerator 1 over denominator 24 minus straight x end fraction minus fraction numerator 1 over denominator 24 plus straight x end fraction
1 over 32 equals fraction numerator 24 plus straight x minus 24 plus straight x over denominator 24 squared minus straight x squared end fraction
24 squared minus straight x squared equals 64 straight x
straight x squared plus 64 straight x minus 576 equals 0
straight x equals 8 space or space straight x equals negative 72
speed space can apostrophe straight t space be space negative
speed space of space stream space equals space 8 space km divided by hr

Answered by Arun | 10th May, 2019, 10:49: AM