Embibe Experts Solutions for Chapter: Arithmetic, Exercise 14: Exercise 14

Mr. John is travelling by cycle with the speed of $10 \mathrm{kmph}$ and reached point A at $2 \mathrm{pm}$. If he travels at $15 \mathrm{kmph}$, he will reach there at $12$ noon, at what speed must he travel to reach A at $1 \mathrm{pm}?$

A train covers a distance between station $A$ and station $B$ in $45 \min$. If the speed of the train is reduced by $5 \mathrm{kmph}$, then the same distance is covered in $48 \min$. Find the distance between stations $A$ and $B$.

A man drives at the rate of $45 \mathrm{kmph}$, but stops for $10 \min$ at the end of every $12 \mathrm{km}$. Find the time he will take to cover a distance of $135 \mathrm{km}$.

If a boy walks from his house to school at the rate of $4 \mathrm{kmph}$, he reaches the school $10 \min$ earlier than the scheduled time. However, if he walks at the rate of $3 \mathrm{kmph}$, he reaches $10 \min$ late. Find the distance of his school from his house.

A man rides one-third of the distance from A to B at the rate of $x \mathrm{km}/\mathrm{hr}$ and the remainder at the rate of $2y \mathrm{km}/\mathrm{hr}$. If he had travelled at a uniform rate of $6z \mathrm{km}/\mathrm{hr}$, then he could have ridden from A to B and back again in the same total time. Which one of the following is correct?

A car travelling with $\frac{5}{7}$ of its actual speed covers $42 \mathrm{km}$ in $1 \mathrm{hr} 40 \min 48 \sec$. Find the actual speed of the car?

Two trains start from stations A and B and travel towards each other at speeds of $50 \mathrm{kmph}$ and $60 \mathrm{kmph}$ respectively. At the time of their meeting, the second train has travelled $120 \mathrm{km}$ more than the first. The distance between A and B is _____

A train travels a distance of $300 \mathrm{km}$ with constant speed. If the speed of the train is increased by $5 \mathrm{kmph}$, the journey would have taken $2 \mathrm{hours}$ less. Find the original speed of the train.