Calculating Downstream and Upstream Distances
First, determine the boat's speed when moving downstream and upstream.
- Downstream Speed: This is the speed of the boat in still water plus the speed of the current.
Formula: $Speed_{downstream} = Speed_{boat} + Speed_{current}$
Calculation: $Speed_{downstream} = 30 \text{ km/h} + 6 \text{ km/h} = 36 \text{ km/h}$ - Upstream Speed: This is the speed of the boat in still water minus the speed of the current.
Formula: $Speed_{upstream} = Speed_{boat} - Speed_{current}$
Calculation: $Speed_{upstream} = 30 \text{ km/h} - 6 \text{ km/h} = 24 \text{ km/h}$
Converting Time and Calculating Distance
Convert the given time from minutes to hours, as speeds are in km/h.
- Time = 5 minutes = $\frac{5}{60}$ hours = $\frac{1}{12}$ hours.
Now, calculate the distance travelled in each direction using the formula: Distance = Speed × Time.
- Downstream Distance:
Distance = $36 \text{ km/h} \times \frac{1}{12} \text{ h} = 3 \text{ km}$ - Upstream Distance:
Distance = $24 \text{ km/h} \times \frac{1}{12} \text{ h} = 2 \text{ km}$
The boat travels 3 km downstream and 2 km upstream in 5 minutes.
Similar Questions
- The speed of a stream is 3 km/h and the speed of a man in still water is 5 km/h. The time taken by the man to swim 26 km downstream is:
- The speed of a stream is 3 km/h and the speed of a man in still water is 6 km/h. The time taken by the man to swim 37 km downstream is:
- Raju takes twice as long to row upstream as to row downstream in a river. If the river flows at $5\text{ km/h}$, then find the speed of Raju in still water.
- A steamer goes downstream and covers the distance between two ports in 6 h. It covers the same distance upstream in 8 h. If the speed of the stream is 3 km/h, then the speed of the steamer in still water is:
Important Questions from Boat and River
A boat goes 30 km upstream in 3 hours and downstream in 1 hour. How much time (in hours) will this boat take to cover 60 km in still water?
The speed of a motorboat in still water is 20 km/h. It travels 150 km downstream and then returns to the starting point. If the round trip takes a total of 16 hours, what is the speed (in km/h) of the flow of river?
The time taken by a boat to travel 13 km downstream is the same as time taken by it to travel 7 km upstream. If the speed of the stream is 3 km/h, then how much time (in hours) will it take to travel a distance of 44.8 km in still water?
A man can row a distance of 8 km downstream in a certain time and can row 6 km upstream in the same time. If he rows 24 km upstream and the same distance downstream in \(1\frac{3}{4}\) hours, then the speed (in km/h) of the current is:
A boat goes 27 km upstream and 33 km downstream in 6 hours. In the same time it can go 36 km upstream and 22 km downstream. How much time will it take to go 36 km upstream and 44 km downstream?
