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?

If the ratio of the speed of upstream and downstream is $2:3$ and the boat takes the time to covers the distance in upstream and downstream in $10 \mathrm{hours}$. The difference between the speed of boat in Stillwater and stream is$20 \mathrm{kmph}$. If the speed of the boat is increased by$20\%$, then find the time taken by the boat covers the same distance in upstream and downstream?

Total time by the boat covers$(x + 12) \mathrm{km}$ upstream and $(x + 4) \mathrm{km}$ downstream in $12 \mathrm{hours}$. Sum of the speed of boat along with stream and against stream is $40 \mathrm{kmph}$and the ratio of the speed of boat in still water to current is $10:3$. If the speed of boat is increased by $25\%$ and the speed of current is decreased by $1 \mathrm{kmph}$, then find the time taken by the boat to cover the distance of $\mathrm{x} \mathrm{km}$ upstream?

The ratio of the speed of the boat in still water to stream is $5 : 3$. The time taken by boat to travel $120 \mathrm{km}$ along with stream and the boat travels $80 \mathrm{km}$ against stream in $11 \mathrm{hours}$. Which of the following statement is correct?

A boat goes _______ $\mathrm{km}$ upstream in $8\mathrm{h}$ and $36 \mathrm{km}$ downstream in _________ $\mathrm{h}$, the speed of the stream is $0.5 \mathrm{km}/\mathrm{h}$.

$$\begin{gathered} \mathrm{a}. 40 \mathrm{km}, 6 \mathrm{h} \\ \mathrm{b}. 52 \mathrm{km}, 4.8 \mathrm{h} \\ \mathrm{c}. 44 \mathrm{km}, 5.5 \mathrm{h} \end{gathered}$$

Which value is satisfying the above blank?

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

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:

$\mathrm{I}. 40\%, 165, 7$

$\mathrm{II}. 25\%, 110, 10$

$\mathrm{III}. 20\%, 36, 30$

Three quantities I, II and II are given and below these quantities two questions are given in which three statements (A), (B) and (C) are given. You will have to determine which of the following three statements are correct and choose your answer accordingly.

Quantity I: What is the speed of boat in $\mathrm{km}/\mathrm{h}$ still water if it can cover $30 \mathrm{km}$ in upstream in $45 \mathrm{minutes}$ and $15 \mathrm{km}$ in downstream in $15 \mathrm{minutes}$.

Quantity II: What is the per cent marked up on an article which when sold at $25\%$ discount gives profit per cent of $16.25\%$.

Quantity III: Difference between interest amount after $2$ years, when same principle of $₹1500$ is invested in two different schemes, first offers $20\%$ simple rate of interest and second offers $20\%$ compound rate of interest.

Speed of train of length 'Q' meters is 50% more than the speed of boat in still water and train takes $8.64 \mathrm{seconds}$ to cross a pole.

(A) $\mathrm{Q}>$ (Quantity I + Quantity II + Quantity II)

(B) $\mathrm{Q}<$ ($3$ times of Quantity III)

(C) $\mathrm{Q}=$ ($1.6$ times of sum of Quantity I and III)

Three quantities I, II and II are given and below these quantities two questions are given in which three statements (A), (B) and (C) are given. You will have to determine which of the following three statements are correct and choose your answer accordingly.

Quantity I: What is the speed of boat in $\mathrm{km}/\mathrm{h}$ still water if it can cover $30 \mathrm{km}$ in upstream in $45 \mathrm{minutes}$ and $15 \mathrm{km}$ in downstream in $15 \mathrm{minutes}$.

Quantity II: What is the per cent marked up on an article which when sold at $25\%$ discount gives profit per cent of $16.25\%$.

Quantity III: Difference between interest amount after $2$ years, when same principle of $₹1500$ is invested in two different schemes, first offers $20\%$ simple rate of interest and second offers $20\%$ compound rate of interest.

Value of $\text{'}\mathrm{P}\text{'}$ if speed of a car is $\text{'}\mathrm{P}\text{'}$ $\mathrm{km}/\mathrm{h}$ more than the speed of bus and difference between distance travelled by car and bus in $1.5 \mathrm{hours}$ is $90 \mathrm{km}$?

(A) $\mathrm{P}>$Quantity I

(B) $\mathrm{P}=$Average of all the three quantities

(C) $\left(\mathrm{P}-10\right)<$Average of quantity I and III

The question consists of three statements numbered $“\mathrm{I}, \mathrm{II}$and $\mathrm{III}$” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Water is flowing from point B to point A. Find the distance between point A and point B:

Statement $\mathrm{I}:$ The speed of the boat in still water is $300\%$ more than the speed of the stream. The boat takes $4 \mathrm{hours} 24 \mathrm{minute}$ to reach point A from point B.

Statement $\mathrm{II}:$ The speed of the boat upstream is $40\%$ less than the speed of the boat downstream. The boat goes from point A to point B and then returns to point A in $11 \mathrm{hours}$ and $44 \mathrm{minutes}$.

Statement$\mathrm{III}:$ Downstream speed of the boat is $24 \mathrm{km}/\mathrm{h}$ more than the upstream speed of the boat.

On normal days, a boat can cover $42 \mathrm{km}$ upstream and $58 \mathrm{km}$ downstream in$4 \mathrm{hours}$. On rainy days, the speed of stream is increased by $50\%$ while the speed of the boat in still water is decreased by $20\%$. On rainy days, the boat can cover $110 \mathrm{km}$ in still water in $5 \mathrm{hour} 30 \mathrm{minutes}$. Which of the following statements can be determined according to the above given data? 

$\mathrm{I}.$ Downstream speed of the boat on normal days.

$\mathrm{II}.$ Upstream speed of the boat on rainy days. 

$\mathrm{III}.$ Time taken by the boat to cover $56 \mathrm{km}$ upstream and $52 \mathrm{km}$ downstream on rainy days. 

Subhash started from point P in a boat to reach point Q. After $8.7 \mathrm{hours}$, he covered only $15\%$ of the distance and reach at point R. Now, Subhash started from point R and reached at mid-point of P and Q and came back to R in $35.35 \mathrm{hours}$. Time taken by Subhash to cover the distance between Q and P when he started from point Q is $13 \mathrm{hours}$ more than time taken by Rajesh to cover a distance of $720 \mathrm{km}$ in upstream and the speed of Rajesh in downstream is $20\%$ more than his speed in still water. Find the speed of stream:
 

Subhash started from point P in a boat to reach point Q. After$8.7 \mathrm{hours}$, he covered only $15\%$ of the distance and reach at point R. Now, Subhash started from point R and reached at mid-point of P and Q and came back to R in $35.35 \mathrm{hours}$. Time taken by Subhash to cover the distance between Q and P when he started from point Q is $13 \mathrm{hours}$ more than time taken by Rajesh to cover a distance of $720 \mathrm{km}$ in upstream and the speed of Rajesh in downstream is $20\%$ more than his speed in still water. 

In what time Subhash can cover the distance between Q and P if he started from point Q? 

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.