Boats and Streams

A boat covers a distance of $24$km in down stream in $4$hours while it covers the same distance in upstream in $6$hours. What is the speed of boat in still water?

A powerboat travels from point P to Q, a distance of $72 km.$ From A, it travels $24 km$ downstream in $30 minutes$ and therefore the rest $16 km$ upstream to achieve the point Q. If the downstream speed is triple the upstream speed, what's the common speed of the powerboat for the journey from P to Q.

A man can row $20 km$ upstream in $4 hours$ If the speed of the man in still water is $9 km/hr,$ find how much time he is required to cross point Q which is $52 km$ apart from the starting point in the direction of the stream$?$

If the ratio of the speed of the boat downstream and also the speed of the stream is $7:1,$ the speed of the stream is $3 km/hr.$ What would be the space travelled upstream by boat in $4 hours.$

A boat running upstream takes $8$ hours $48$ minutes to cover a definite distance, whereas it takes $4$ hours to cover an identical distance running downstream. what's the magnitude relation between the speed of the boat and the speed of the water respectively$?$

Motorboats travel at a velocity of $39 km/hr$ in still water. If the speed of the stream is $12 km/hr,$ find the time taken by the motorboat to go $408 km$ downstream.

How long can it go to row $90 km$ upstream if one will row $5 km$ in $10 minutes$ in still water and also the same distance in $8 minutes$ with the stream$?$

The ratio between the speed of the boat in still water to the speed of the stream is $6:7.$ If $91 km$ is travelled downstream in $2 hours$ then, find the difference between the speed of the boat in still water and speed of the stream?

The ratio of the speed of the motorboat in still water to the speed of the stream is $11:3.$ A motorboat goes $98 km$ in $30 minutes$ downstream, find the time taken by motorboat to cover the distance $980 km$ upstream.

A woman can swim $6 km/hr$ in still water. If the speed of the stream is $4 km/hr$ the time is taken by him to swim to a place $44 km$ upstream is:

A man can swim $5 km/hr$ in still water. If the speed of the stream is $3$ $km/hr,$ the time is taken by him to swim to a place $32 km$ downstream is:

The speed of a boat is $15 km/hr$ in still water and the speed of the current is $5 km/hr.$ If the boat takes $12 hours$ to go to a new place in the same direction as the river, then the distance of the new place is how far from the initial$?$ 

Two boats P and Q start towards each other from two places on the river, $540 km$ apart. The speed of the boats P and Q in still water are $48 km/hr$ and $42 km/hr$ respectively. If P goes down and Q up the stream, then they will meet after how much period of time$?$

If the ratio of the speed of the boat downstream and the speed of the stream is $4:1.$ The speed of the current is $5 km/hr.$ What would be the distance travelled upstream by boat in $3 hours$$?$

It takes Sanjay $6 \mathrm{hours}$ to reach a certain distance when he travels in the direction of the stream and it takes him $9 \mathrm{hours}$ to travel back to the starting point. If the speed of the current is $3 \mathrm{km}/\mathrm{hr}$,find the speed of Sanjay in still water:

A boatman rows his boat upstream from point $\mathrm{A}$ to point $\mathrm{B}$ and downstream from point $\mathrm{C}$ to point $\mathrm{D}$ in $6 \mathrm{hours}$. What is the velocity of the boat in still water if the distance between point $\mathrm{C}$ to point $\mathrm{D}$ is $8 \mathrm{km}$ and the speed of the stream is $2 \mathrm{km}/\mathrm{hr}$?

Palash rides his motorbike $28 \mathrm{km}$ in $4 \mathrm{hours}$ against the flow of the nearby river and rides next $7 \mathrm{km}$ in $30 \mathrm{minutes}$ along with the flow of the river. How much time will Palash take to ride $50 \mathrm{km}$ in the still water?

On an adventurous trip, Rakesh rows a boat in still water at $15 \mathrm{m}/\mathrm{s}$. The speed of the stream is $10 \mathrm{m}/\mathrm{s}$. If Rakesh rows the boat on the upstream side and then again on the downstream side, then what is the ratio of time taken by Rakesh to cover a particular length in each direction?

It takes $8 \mathrm{hours}$ for a boat to move downstream from two points named $\mathrm{X}$ and $\mathrm{Y}$ and to return to point $\mathrm{X}$ upstream. What will be the distance between these two points if the speed of the boat in still water is $8 \mathrm{km}/\mathrm{hr}$ and the speed of the stream is $6 \mathrm{km}/\mathrm{hr}$?

While rowing at a speed of $15 \mathrm{km}/\mathrm{hr}$ in still water, Rohit finds that when he covers a certain distance in the stream, he takes thrice as much time to row upstream than to row downstream. What is the speed of the stream?