A boat takes 112 hours to travel x distance downstream from place A to place B and come back to place Z which is x/1.5 distance between A and B. If the speed of the boat in still water is 14 km/hr and the speed of the stream is 6 km/hr, then find the distance between A and B?
A. 840 km
B. 712 km
C. 926 km
D. 1024 km
E. None of these
Sol:
Speed of the boat downstream = 14 + 6 = 20
km/hr
Speed of the boat upstream = 14 – 6 = 8 km/hr
Let distance covered between A and B = x km
Then, according to the question,
x/20 + (x/1.5)/8 = 112
x/20 + x/12 = 112
(3x + 5x)/60 = 112
8x/60 = 112
x = 112 × 60/8
x = 840 km
