Question

17
In a River there are two boats A and B, where
boat A covers 30 km downstream and boat B
covers 30 km upstream. Boat B takes 2 hours
more than boat A in covering the given
distance. If sum of speed of boat A in still water
and boat B in still water is 16 km/hr and speed
of water current is 1 km/hr then find the speed
boat B in still water?
O 8 km/hr​

Answer 1

Step-by-step explanation:

Let still water speed of boat A is x km/hr and B is (16 - x) km/hr

ATQ—

30x + 30 - 450 + 30x = 2 (15x + 15 - x2 - x)

60x - 420 = 2 (14x + 15 - x2)

x2 + 16x - 225 = 0

x(x+25)-9 (x+ 25)=0

x = 9 lcm/hr

speed of boat Bin still water = (16 - 9) = 7 km/hr