Disha Expert Team Solutions for Chapter: Time, Speed and Distance, Exercise 1: Exercise

A car travels $25 \mathrm{km}$ an hour faster than a bus for a journey of $500 \mathrm{km}$. If the bus takes $10$ hours more than the car, then the speeds of the bus and the car are

A bullock cart has to cover a distance of $80$ $km$ in $10$ hr. If it covers half of the journey in $\frac{3}{5}th$ time, what should be its speed to cover the remaining distance in the left time?

A thief goes away with a Maruti car at a speed of $40$ $km/h$. The theft has been discovered after half an hour and the owner sets off in another car at $50$ $km/h$. When will the owner overtake the thief from the start?

A car driver travels from the plains to a hill station, which is $200$ $km$ apart at an average speed of $40$ $km/h$. On the return trip, he covers the same distance at an average speed of $20$ $km/h$. The average speed of the car over the entire distance of $400$ $km$is _____.

Two people $A$ and $B$ start from $P$ and $Q$ (distance $= D$) at the same time towards each other. They meet at a point $R$, which is at a distance $0.4$ $D$ from $P$. They continue to move to and fro between the two points. Find the distance from point $P$ at which the fourth meeting takes place?

A student rides on a bicycle at $8$ km/h and reaches his school $2.5$ minutes late. The next day he increases his speed to $10$ km/h and reaches the school $5$ minutes early. How far is the school from his house?

A gives both B and C a start of $60$ $m$in a $1500$ $m$race. However, while B finishes with him, C is $15$ $m$behind them when A and B cross the finishing line. How much distance ahead a start can B give C for the $1500$ $m$racecourse?

The driver of an ambulance sees a school bus $40 \mathrm{m}$ ahead of him. After $20$seconds, the school bus is $60 \mathrm{m}$ behind. If the speed of the ambulance is $30 \mathrm{km}/\mathrm{h}$, what is the speed of the school bus?