Time, Speed and Distance

A person can walk a certain distance and ride back on the bike taking a total time of $37 \min$ and the person could walk both ways in $55 \min$. How long would it take me to ride both ways?

The ratio between the speeds of two trains is $7 : 8$, If the second train runs $400 \mathrm{km}$ in $4 \mathrm{hours}$, then find the speed of the first train.

How long does a train $110 \mathrm{m}$ long, running at the rate of $36 \mathrm{kmph}$ take to cross a bridge of length $132 \mathrm{m}?$

Sita sees her friends standing at a distance of $240 \mathrm{m}$ from his position. She increases her speed by $50\%$ and hence takes $20 \sec$ now to reach her.
(i) If she travels at the original speed, how much time will she take?
(ii) What was her original speed ?

A train running at a certain speed crosses a stationary engine in $20$ seconds. To find out the speed of the train, which of the following information is necessary ?

A bus driver wants to travel a distance of$200 \mathrm{km}$. He travels with the speed of$40 \mathrm{km}/\mathrm{hr}$. He takes rest at $3$Different hotels for$15 \mathrm{minutes}$, $30 \mathrm{minutes}$ and$15 \mathrm{minutes}$, respectively. Does he start his journey at $9.00 \mathrm{p}.\mathrm{m}.$At what time does he reach his final destination?

A person travels equal distance with the speed of $3 \mathrm{kmph}$, $4 \mathrm{kmph}$ and $5 \mathrm{kmph}$ and takes a total time of $47 \min$. Find the total distance.

A $300 \mathrm{m}$ long train is running at a speed of $35 \mathrm{km}/\mathrm{hr}$. Another train $200 \mathrm{m}$ long is coming from the opposite direction at a speed of $25 \mathrm{km}/\mathrm{hr}$. Then what is the time taken by both trains to cross each other?

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.

From a point on a circular track $5 \mathrm{km}$ long, $\mathrm{A}, \mathrm{B}$ and $C$ started running in the same direction at the same time with speeds of $2\frac{1}{2} \mathrm{km} \mathrm{per} \mathrm{hour}$, $3 \mathrm{km} \mathrm{per} \mathrm{hour}$ and $2 \mathrm{km} \mathrm{per} \mathrm{hour}$ respectively. Then on the starting point all three will meet again after

Walking at the speed of $6 \mathrm{km}/\mathrm{hr}$, a person reaches his office $8 \min$ late. If he walks at the speed of 8 km/hr he reaches his office $3 \min$ early. What is the distance between house and office?

A person walks a distance in $114 \mathrm{days}$  when he rests $9 \mathrm{hours}$ a day. How long will he take to walk twice the distance, if he walk twice as fast and rests twice as long each day as before?

A man in a train notices that he can count $21$ telephone posts in one minute. If they are known to be $50 \mathrm{m}$ apart, then at what speed is the train travelling?

A train covers $1830 km$ distance. The speed of the train is more, than twice the time taken to cover the distance by $1$. What is the respective ratio of speed of the train and the time taken to cover the distance?

A train passes a man standing on the platform. If the train is $170 \mathrm{m}$ long and its speed is $72 \mathrm{kmph}$, how much time it took in doing so?

A man can cover a certain distance in $3 \mathrm{h} 36 \min$ if he walks at the rate of $5 \mathrm{kmph}$. If he covers the same distance on cycle at the rate of $24 \mathrm{kmph}$, then the time taken by him is ______

A race track has a circumference of $3000 \mathrm{m}$ the length of the race is $9000 \mathrm{m}$. The fastest and the slowest cart meet for the first time after the start of the race at the end of the length in $10 \min$. All the carts start at the same point and fastest cart moves at twice the speed of the slowest cart, what is the time taken by the fastest cart to finish the race ?

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 _____

Starting from his house one day, a student walks at a speed of $2.5 \mathrm{kmph}$ and reaches his school $6 \mathrm{minutes}$ late. The next day at the same time he increases his speed by $1 \mathrm{kmph}$ and reaches the school $6 \mathrm{minutes}$ early. How far is the school from his house?

A farmer travelled a distance of $61 \mathrm{km}$ in $9 \mathrm{hr}$. He travelled partly on foot with $4 \mathrm{km}/\mathrm{hr}$ and partly on bicycle with $9 \mathrm{km}/\mathrm{hr}$. The distance travelled on foot is: