A man can row 4.5 km/hr in still water. It takes him twice as long to ...
Speed of boat in still water (b) = 4.5 km/hr. Speed of boat with stream (Down Stream), D = b + u Speed of boat against stream (Up stream), U = b – u It is given upstream time is twice to that of down stream. ⇒ Downstream speed is twice to that of upstream. So b + u = 2(b – u) ⇒ u =b/3 = 1.5 km/hr.
A man can row 4.5 km/hr in still water. It takes him twice as long to ...
Given:
- Speed of man in still water = 4.5 km/hr
- Time taken to row upstream = 2 × time taken to row downstream
To find: Rate of the current
Let's assume:
- Speed of current = x km/hr
- Speed of man while rowing upstream = 4.5 - x km/hr
- Speed of man while rowing downstream = 4.5 + x km/hr
- Distance = D km (Assuming the distance covered both upstream and downstream is the same)
Formula used:
- Time = Distance / Speed
Calculation:
- Time taken to row upstream = D / (4.5 - x)
- Time taken to row downstream = D / (4.5 + x)
- According to the question, 2 × (D / (4.5 + x)) = D / (4.5 - x)
- Solving for x, we get x = 1.5 km/hr
Therefore, the rate of the current is 1.5 km/hr.