Time, Speed and Distance

A leak was found in a ship when it was$77 \mathrm{km}$ from the shore. It was found that the leak admits $2.25 \mathrm{tones}$ of water in $5.5 \min$. $92 \mathrm{tones}$of water will be sufficient to sink the ship. But the pumps can throw out $12 \mathrm{tones}$an $\mathrm{hour}$. Find the average rate of sailing at which the ship may reach the shore as it begins to sink.

A motorist travels to a place $150 \mathrm{km}$ away at an average speed of $50 \mathrm{kmph}$ and returns at $30 \mathrm{kmph}$. His average speed for the whole journey in $\mathrm{kmph}$ is _____

Two cyclists start from the same place in opposite directions. One goes towards north at $18 \mathrm{kmph}$ and the other goes towards south at $20 \mathrm{kmph}$. What time will they take to be $47.5 \mathrm{km}$ apart?

A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is _____

A car travelled $30\%$ of the time at a speed of $20 \mathrm{km}/\mathrm{hr}$, $40\%$ of the time at a speed of $30 \mathrm{km}/\mathrm{hr}$ and the rest of the journey at a speed of $40 \mathrm{km}/\mathrm{hr}$. What is the average speed of the car for the entire journey?

$5 \mathrm{m}/\mathrm{s}=?$

A car covers a distance of $48 \mathrm{km}$ at a speed of $40 \mathrm{km}$ and another $52 \mathrm{km}$ with a speed of $65 \mathrm{km}/\mathrm{h}$. What is the average speed of the car (in $\mathrm{km}/\mathrm{h}$) for the total distance covered?

Ajit Singh left from place P at$9:30 \mathrm{a}.\mathrm{m}.$for place Q and the David Raj left place Q at $1:30 \mathrm{p}.\mathrm{m}.$ for place P. The distance between them is $416 \mathrm{km}$. If Ajit Singh's speed is $44 \mathrm{km}/\mathrm{h}$ and David Raj's speed is $52 \mathrm{km}/\mathrm{h}$, then at what time will they meet each other?

Train A, which runs at a speed of $90 \mathrm{km}/\mathrm{h}$, starts from Station Y at $8 \mathrm{a}.\mathrm{m}.$. Train B, which runs at a speed of $120 \mathrm{km}/\mathrm{h}$, starts from Station Y on the same route at $8.10 \mathrm{a}.\mathrm{m}.$. If Train B catches up with Train A at$8.40 \mathrm{a}.\mathrm{m}.$ at Station Z, then what is the distance between Stations Y and Z?

Train A takes $1\frac{4}{5} \mathrm{h}$more than the time taken by train \(B\) to cover a distance of $360 \mathrm{km}$. If the speed of train \(A\) doubles, it will take $36 \min$less than the time taken by train B to travel the same distance. What is the speed (in $(\mathrm{km}/\mathrm{h})$ of train B ?

If a person Travels at a speed of$40 \mathrm{km}/\mathrm{h}$, he will reach his destination on time. He covers two third of his journey in five-sixth of the time. At what speed should he travel to cover the remaining distance to reach his destination on time?

A man walking at a rate of $4 \mathrm{km}/\mathrm{h}$ crossed a tunnel in $18 \min$. What is the length of the tunnel in metres?

Two person P and Q are $844 \mathrm{m}$ apart. They both start cycling simultaneously in the same direction with speeds of $12 \mathrm{m}/\mathrm{s} \mathrm{and} 8\mathrm{m}/\mathrm{s}$respectively. In how much time will P overtake Q?

Mohan takes $2 \mathrm{hours}$ more than Kishore to walk $63 \mathrm{km}$.If Mohan increases his speed by $50\%$, then he can make it in $1 \mathrm{hour}$ less than Kishore. How much time does Kishore take to walk $63 \mathrm{km}$?

Trains A and B of lengths $329 \mathrm{m} \text{and} 296 \mathrm{m}$, respectively, are running in opposite directions on parallel tracks, at the speeds of $85 \mathrm{km}/\mathrm{h} \text{and }65 \mathrm{km}/\mathrm{h}$, respectively. In what time (in sec) will they cross each other?

Ashok completes a journey in $7 \mathrm{hours}$. He travels the first half of the journey at the speed of $24 \mathrm{km}/\mathrm{h}$ and the second half of it at the speed of $32 \mathrm{km}/\mathrm{h}$. The total distance of the journey is:

A persons rows upstream a distance of $55 \mathrm{km}\text{ in} 5 \mathrm{hours}$ and rows downstream a distance of $75 \mathrm{km}\text{ in} 3 \mathrm{hours}$. How much time will he take to row a distance of $96 \mathrm{km}$ in still water?

A man cycles from P to Q, a distance of $30 \mathrm{km}$, in $2 \mathrm{hours} 48 \min$. The road from P is a level road for $18 \mathrm{km}$ and then it is uphill to Q. The man's average speed on the level road is $15 \mathrm{km}/\mathrm{h}$. What is his average uphill speed (in $\mathrm{km}/\mathrm{h}$)?

A person moved from place A for place B at $2 \mathrm{p}.\mathrm{m}.$ at a speed of $4.5 \mathrm{km}/\mathrm{h}$, stayed at place B for $1.5 \mathrm{hours}$ and returned to place A at a speed of $6 \mathrm{km}/\mathrm{h}$. He came back to place A at $7 \mathrm{p}.\mathrm{m}.$. What is the distance between places A and B ?

A train $500 \mathrm{m}$ long passes a railway platform $400 \mathrm{m}$ long in $1 \mathrm{minute}$ with uniform speed. What is the time (in Sec) taken by the train to pass a man riding a motorbike, travelling opposite to the direction of the train, at speed of $18 \mathrm{km}/\mathrm{h}$?