Question
A boat covers some distance downstream in 1 hour. It covers 3/2 hours. If the velocity of the stream is 3 kilometers per hour, then what will be the velocity of the boat in still water?
Solution
15. Let the speed of boat in still water =B and speed of stream =S Given stream =S=3km/h Speed of boat in downstream =B+S, and time =1 hour. Then Distance = (B+S) ×1 Speed of boat in upstream = B-S and time =1.5h Then distance = (B-S) ×1.5 ATQ- (B+S) ×1=(B-S) ×1.5 2B+2S=3B-3S B=5S B=5×3=15km/h
More Boats and streams Questions
- If a man rows at the rate of 14 kmph in still water and his rate against the current is 5 kmph, then the man’s rate along the current is:  ...
- A boat sailor begins rowing from point X, moving against the stream for 30 minutes. After that, he turns around and rows with the stream for another 30 min...
- Speed of a boat in still water to speed of boat in upstream is 7:4. If the boat can travel 450 km in downstream in 5 hours, then find the time taken by the...
- A man swims downstream 49 km and upstream 35 km, taking 7 hr each time. What is the velocity of current?
- A boy can swim in water with a speed of 12 km/hr in still water. If the speed of the stream is 6 km/hr, what will be the time taken by the boy to cover 72 ...
- Determine the speed of a Ship in calm water, given that the Ship's speed downstream is 20% greater than its speed in still water. If the Ship can cover 48 ...
- A boat can cover 36 km in still water and 45 km in downstream in 4 hours and 3 hours respectively. Find the time taken by the boat to cover 60 km upstream ...
- A boat takes 6 hours to cover 288 km downstream and 7 hours to cover 168 km upstream. Find the time taken by the boat to cover 180 km in still water.
- Speed of a boat in still water to speed of boat in upstream is 10:7. If the boat can travel 390 km in downstream in 5 hours, then find the time taken by th...
- The speed of a boat is that of the current of water is 40:3. The boat goes along with the current in 3 hours 8 minutes. It will come back in
Relevant for Exams:
