Embibe Experts Solutions for Exercise 1: Exercise 1

A train runs from Howrah to Bandel at an average speed $20 \mathrm{kmph}$ and returns at an average speed of $30 \mathrm{kmph}$. The average speed (in $\mathrm{kmph}$) of the train in the whole journey is _____

A car has an average speed of $60 \mathrm{km}/\mathrm{hr}$ while going from Delhi to Agra and has an average speed of$y \mathrm{km}/\mathrm{hr}$ while returning to Delhi from Agra (by travelling the same distance). If the average speed of the car for the whole journey is $48 \mathrm{km}/\mathrm{hr}$, then what is the value of $y$?

One-fifth of the certain journey is covered at the rate of $20$ Km/h, one-fourth at the rate of $50$ Km/h, and the rest at $55$ Km/h. Find the average speed for the whole journey.

$\mathrm{X}, \mathrm{Y}, \mathrm{Z}$ run on a circular track at speeds of $10 \mathrm{m}/\mathrm{s}, 20 \mathrm{m}/\mathrm{s}, 25 \mathrm{m}/\mathrm{s}$ respectively. If they start from the same point in the same direction at the same time and $\mathrm{X}$covers $1 \mathrm{km}$ when they meet again for the first time at the starting point, then the total distance covered by $\mathrm{Y} (\mathrm{in} \mathrm{km})$ is?

A and B take part in $100 m$ race. A runs at $5 kmph$. A gives B a start of $8 m$ and still beats him by $8$ seconds. The speed of B is:

In a km race, A beats B by $28$ meters or $7$ seconds. Finds A's time over the course(in seconds)?

    In a $500 m$ race, the ratio of the speeds of two contestants A and B is $3 : 4$. A has a start of $140 m$. Then, A wins by:

In a $100 \mathrm{m}$ race, $A$ can beat $B$ by $25 \mathrm{m}$ and $B$ can beat $C$ by $4 \mathrm{m}.$ In the same race, $A$ can beat $C$ by: