Boats and Streams

Find the speed (in km/hr) of the boat in still water. If a boat goes $12$$km$ downstream and comes back to the starting point in$3$ Hours. If the speed of the current is$3$$km/hr$.

What is the speed of stream ?
(i) The boat covers $20$ $km$ in $5$ hours moving up stream.
(ii) The boat covers $20$ $km$ in $4$ hours moving down stream.
(iii) The ratio between the speed of boat and stream is $2 : 1$ respectively.
Which of the following statements are necessary to answer the question:

A boat can cover upstream $24 \mathrm{km}$ in $6 \mathrm{hours}$ and returns downstream $20 \mathrm{km}$ in $4 \mathrm{hours}$. Then find the speed of boat in still water$?$

A man can row $\frac{3}{4}$ of a km against the stream in $11\frac{1}{4} \min$ and returns in$7\frac{1}{2} \min$. Find his speed in still water.

The speed of a boat in still water $11 \mathrm{km}/\mathrm{hr}$. It can go $12 \mathrm{km}$ upstream and return downstream to the starting point in $2 \mathrm{hr} 45 \min$. What is the speed of stream?

The speed of the current is $2 \mathrm{km}/\mathrm{h}$. A boat goes $20 \mathrm{km}$ upstream and back again to the starting point in $110 \min$. What is the speed of the boat in still water?

A boat goes down stream at$x \raisebox{1ex}{$\mathrm{km}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{hr}$}\right.$ and upstream at $y \raisebox{1ex}{$\mathrm{km}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{hr}$}\right.$. The speed of the boat in still water is _____.

A man rows upstream a distance of $9 \mathrm{km}$ or downstream a distance of $18 \mathrm{km}$ taking $3 \mathrm{h}$ each time. Find the speed of the boat in still water.

Speed of the boat on calm water is $15 \mathrm{kmph}$. After floating $45 \mathrm{km}$ against the direction of flow it returns to its initial position in $\frac{27}{4} \mathrm{h}$. Find the speed of flow.

Find the speed of the stream. A boat takes $90$ Minutes less to travels $36$ Miles downstream than to travel the same distance upstream. If the speed of the boat in still water is $10$ $m/h$.

Ravi can row a boat in still water at the speed of $14 \mathrm{km}/\mathrm{h}$. If a river is following at the speed of $2 \mathrm{km}/\mathrm{h}$ and Ravi takes $3 \mathrm{hours}$ to cover a certain distance upstream, then how much time will he take to cover the same distance downstream?

A boat goes $27 \mathrm{km}$ upstream and $33 \mathrm{km}$ downstream in $6 \mathrm{hours}$. In the same time, it can go $36 \mathrm{km}$ upstream and $22 \mathrm{km}$ downstream. How much time will it take to go $36 \mathrm{km}$ upstream and $44 \mathrm{km}$ downstream?

Sunil can row a boat $20 \mathrm{km}$ upstream in $1 \mathrm{hour} 15 \min$. If the speed of the current of the river is $2 \mathrm{km}/\mathrm{h}$, then how much time will he take to row the boat $30 \mathrm{km}$ downstream?

Boat covers $\left(\mathrm{X}\right) \mathrm{km}$ in downstream in river $1$ in $10 \mathrm{hours}$ and same boat covers $\left(\mathrm{X}\right) \mathrm{km}$ in upstream in river $2$ in $18 \mathrm{hours}$. If the speed of the current in river$1$ is $40\%$ less than that of in river$2$, then what can be the possible value(s) of the speed of the boat in still water and the speed of the current in the river$1$.

A. $\left(24 \& 6\right)$

B. $\left(30 \& 7.5\right)$

C. $\left(20 \& 4\right)$ 

Find the average speed of Aman in $\mathrm{km}/\mathrm{hour}$:

Aman walks at a speed such that he can cover a distance of $100 \mathrm{meters}$in $1 \mathrm{minute}$. If he walks a distance of $25 \mathrm{meters}$ to reach a point A and returns back at a speed such that it takes him $6 \mathrm{seconds}$ more than it did to reach A.

What is the speed of the current in $\mathrm{km} \mathrm{per} \mathrm{hour}$?

Anudip can usually row a boat $12 \mathrm{km}$ downstream in $6 \mathrm{hours}$less than it takes him to travel the same distance upstream. He doubles up his usual rowing rate such that it takes him one hour less to travel the same distance downstream than to travel upstream.

The speed of a boat in still water is thrice the speed of the current. The time taken by the boat to cover $130 \mathrm{km}$ downstream is $2 \mathrm{hours}$more than the time taken by the boat to cover $45 \mathrm{km}$upstream. If the speed of the current is $‘\mathrm{x}’ \mathrm{km}/\mathrm{hr}$, then the time taken by the boat to cover $90 \mathrm{km}$ downstream is how much more/less than the time taken to cover $80 \mathrm{km}$ upstream?

A boat whose speed in still water is _______$\%$ more than the speed of the current covers $1980 \mathrm{m}$downstream in _____ $\sec$. The speed of the boat in still water is ______ $\mathrm{m}/\sec .$

The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true:

A. $40\%, 165, 7$

B.$25\%, 110, 10$

C. $20\%, 36, 30$

A boat travels at a speed of $20 km/hr$ in stable water. It goes a distance of $120 km$ upstream and then returns in $12.5 hours$. Speed of the stream __________ $(in km/hr)$. The time taken _________ $(in hours)$ by the boat to travel 80 km in the flowing river.

A motorboat covers some distance upstream and downstream in 6 hours. If speed of motorboat in still water is 30 km/h and speed of stream is 10 km/h. Then find the distance covered.