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Motorboat whose speed in still water …

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Motorboat whose speed in still water is 9 km per hour goes 15 km downstream and come back to the same spot in a total time of three hours 45 minutes find the speed of stream

Posted by Niraj Rajput 6 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Prachi Janwani 6 years, 5 months ago

y square= 81-(18×4)=9

2Thank You

Prachi Janwani 6 years, 5 months ago

Le the speed of boat in still water be x km/h.x=9 km/h (given) And speed of boat in current be y km/h. Distance= 15 km. T= time for traveling downstream t= time for traveling upstream Total time = T+t= 3 hours 45 minutes= 15/4 hours. For downstream Time = distance/speed T= 15/(x+y) T= 15/9+y _____ equation 1 For upstream t= 15/(x-y) t=15/9-y _______ equation 2 Adding equation 1 and equation 2 T+t= 15/(9+y)+15/(9-y) 15/4=15(18)/(81-y square) y square= 81-(18×4) y square= 8 y=√9 y=3 Answer= speed of motorboat in stream is 3km/h.

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CBSE > Class 10 > Mathematics