Time, Speed and Distance

Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $\frac{5}{2} \mathrm{km}/\mathrm{hr}$. and  Sarita at a speed of  $2 \mathrm{km}/\mathrm{hr}$, in how much time will they be $18 \mathrm{km}$apart?

Train X starts from station A towards station B at $8:00 am$ and reaches station B at $4:00 pm.$ Train Y starts from station B towards station A at $9:00 am$  and reaches A at $5:00 pm.$ At what time do both the trains cross$?$

A car covers $70\%$ of distance with the speed of $80 km/h$ and remaining distance covered with the speed of $60km/h$. What is the average speed of the car in the whole journey?

Two trains running in the opposite direction with on moving twice of other speed. If the length of the train are the same P they cross each other in $13 \mathrm{s}$. The speed of a faster train is (Assume the length of train is $135 \mathrm{m}$)

A bicycle takes $15 hr$ to complete the distance of $150 km$ between Pune to Mumbai. Sita on bicycle $1$ starts from Mumbai at $6:00 AM$ and Gita on bicycle $2$ starts from Pune at $9:00 AM$ on the Same day. When do the Sita and Gita meets. 

The ratio of the speed of Ajay & Vijay in still water is $7:6$. Both start from Sum point but Ajay goes upstream and Vijay mom in the direction of flows. After $4 hours$, the water steps flowing & Ajay returns to mat Vijay. How much time after water steps flowing Ajay meets Vijay.

An aeroplane flies with an average speed of $756 \mathrm{km}/\mathrm{hr}.$ A helicopter takes $48$ hours to cover twice the distance covered by aeroplane in $9$ hours. How much distance will the helicopter cover in $18$ hours?

A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?

The average speed of a train is $3$ times the average speed of a car. The car covers a distance of $520$ kms in $8$ hours. How much distance will the train cover in $13$ hours?

Car A and a Car B starts from a point at the same time and reach another point $90 km$ away at the same time, if the car A was running ___$\%$ faster than the car B and took a halt for ___ minutes, while the car B was running at a speed of $60 km/hr$.

Which of the following options satisfies the two blanks in the question?

$$\begin{gathered} A. 20, 15 \\ B. 25, 20 \\ C. 50, 25 \\ D. 80, 30 \end{gathered}$$

Two places P and Q are $‘A’$ km apart. Two ships start from each place at the same time towards each other. One is going upstream and another downstream. The speeds of the two boats in still water are $12 km/hr$ and $15 km/hr$. Both the ships meet after $4$ hours.

From the given statement which of the following can be determined?

A. Speed of the current.
B. Value of $A$.
C. If both the boats travel upstream (The faster boat is behind the slower one) then after how much time will they meet?
D. If both the boats travel downstream (The faster boat is behind the slower one) then after how much time will they meet?

Deepa first travelled from A to B and then from B to C. The distance between A and B and the distance between B and C were in the ratio $2:3$. Deepa's average speed between A and B and her average speed between B and C were in the ratio $5:4$. If Deepa's average speed for the entire journey was $40$ $\mathrm{km}/\mathrm{hr}$, what was his average speed (in $\mathrm{km}/\mathrm{hr}$) between A and B?

Two cities A and B are $1200 km$ apart. At $11$ a.m., a bus P leaves A for B, and a bus Q leaves B for A. Bus P covers one-third of the distance at a speed of $80 km/hr$, half the remaining distance at $100 km/hr$, and the rest at $120 km/hr$. Bus completes the journey by travelling at $80 km/hr, 100 km/hr$ and $120 km/hr$ respectively for equal intervals of time. Find the distance between them after travelling for $7.5$ hours?

Tushar wakes up at $7:15$ am instead of $7:00$ am then he gets ready and drives at $\frac{5}{4}$th of his usual speed to reach office on time. If the distance from home to office is $15.775$ km, find Tushar's usual speed.

A car met with an accident after covering 167 km, due to which it could travel at only five-seventh of its actual speed during the remaining journey. If it reached late at its destination by 240 minutes then find the usual time taken by the car had it not met with the accident.

A train covers $200 kilometres$ in $3 hours$ and $30$ minutes. If it maintains $40$ kmph for the first and last half an hour, then at what speed it should travel to maintain the same time for the whole distance?

A train can travel $50\%$ faster than a car. Both start from point A at the same time and reach point B which is $75$ $kms$ away from A at the same time. On the way, however, the train lost about $15$ minutes while stopping at the stations. The speed of the car is:

A car runs at the speed of 40 kmph when not serviced and runs at 65 kmph. when serviced. After servicing, the car covers a certain distance in 5 hours. How much approximate time will the car take to cover the same distance when not serviced?

Mohan travel a certain distance with a certain uniform speed.If he increased his speed by 3 km per hour faster, he takes 40 minutes less and if he reduced his speed by 2 km per hour slower, he takes 40 minutes more.What is the normal speed of Mohan?

When a train travels a distance of 100 km with it’s original speed develops a problem in the engine and proceeds at  \( \frac{1}{4} \)  th of its original speed and arrives at the destination 50 minutes late. Had the problem developed 20 km further, the train would have arrived at the destination only 20 min late. Find the original speed of the train.