In a River there are two boats A and B, where boat A covers 240 km in downstream and boat B covers 240 km in upstream. Boat B takes equal time as boat A takes in covering the given distance. If sum of speed of boat A in still water and boat B in still water is 64 km/hr and speed of water current is 4 km/hr then find the speed of boat B in still water?

Options

A. A)32 km/hr
B. B)36 km/hr
C. C)40 km/hr
D. D)42 km/hr

Answer

To solve the problem step-by-step, we will define the variables and use the information provided in the question.

### Step 1: Define Variables
Let:
- Speed of boat A in still water = \( a \) km/hr
- Speed of boat B in still water = \( b \) km/hr
- Speed of water current = \( c = 4 \) km/hr