A) 150 km
B) 100 km
C) 175 km
D) 200 km
E) 250 km
Correct Answer: B
Solution :
Let the distance between Q and R be x km and that between P and Q be (x + 6) km. Then, according to the question, Speed of boat in still water = 22 kmph Speed of stream = 2 kmph \[\therefore \]Downstream speed = 22 + 2 = 24 kmph \[\therefore \]Upstream speed = 22 - 2 = 20 kmph Then,\[\frac{x}{20}-\frac{x+6}{24}=\frac{32}{60}\] or,\[\frac{6x-5x-30}{120}=\frac{8}{15}\] or,\[(x-30)15=960\] or,\[15x=960+450\] or,\[x=\frac{1410}{15}km=94\,\,km\] \[\therefore \]Distance between P and Q = (94 + 6) km = 100 kmYou need to login to perform this action.
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