Ram can row a boat 8 km downstream and return in 1 hour 40 mins. If the speed of the stream is 2 km per hour, find the speed of the boat in still water
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Speed of stream=2km/hr.
Let speed of boat in still water be x Km/hr.
Time taken to travel upstream=8/(x-2).
Total time = 1 hr 40 min=5/3 hr.
8/(x+2)+8/(x-2)=5/3.
24(x-2) + 24(x+2)=5(x+2) (x-2).
48 x =5x^2-20.
5x^2-48 x-20=0.
x=48 +√(-48)^2 - 4*5*(-20)/2*5.
x=48+√2304+400/10.
x=48+52/10=100/10=10 .So speed of boat in still water=10km/hr.
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Answer:
Speed of boat in still water is
10km/hr
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