Embibe Experts Solutions for Chapter: Time,Speed and Distance, Exercise 1: Exercise

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 man completes $30 \mathrm{km}$ of a journey at $6 \mathrm{km}/\mathrm{h}$ and the remaining $40 \mathrm{km}$ in $5 \mathrm{h}$. His average speed for 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.

A truck goes from Haryana to Bangalore with an average speed of 60 km/hr. The journey takes 30 hours. It returns from Bangalore to Haryana on the same road with an average speed of 40 km/hr. What was the average speed of the truck during the roundtrip?

Two rockets approach each other, one at $42,000 \mathrm{mph}$ and the other at $18,000 \mathrm{mph}$. They start $3256 \mathrm{miles}$ apart. How far are they apart (in $\mathrm{miles}$) $1 \min$ before impact?

A thief is noticed by a policeman from a distance of $200 \mathrm{m}$. The thief starts running and policeman chases him. The thief and the policeman run at the rate of $10 \mathrm{kmph} \& 11 \mathrm{kmph}$ respectively. What is the distance between them after $6 \min ?$

The distance between two places A and B is $110 km$. 1st car departs from place A to B, at a speed of $40 km/h$ at $11 a.m$., 2nd car departs from place B to A at a speed of $50 km/h$ at $1 p.m$. At what time will both the cars meet each other?