# CDS MATHEMATICS

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## Question 1:

Two cars P and Q start from place A and B respectively which are 200km apart at 9 a.m. Both the cars run at an average speed of 30km/h . car Q stops for 1 hour at 11 a.m. while the another car continue to run without stopping . The two cars cross each other at what time ?

## Question 2:

A person has to cover a distance $300 \mathrm{~km}$ in 20 hours. If he covers $\frac{7}{10}$ of the distance in $\frac{3}{5}$ of the time, then what should be his speed (in km(hr) to Cover the remaining distance in the remaining time?

## Question 3:

Richard's car runs 25kms in one litre of petrol. If petrol costs Rs. 75 /litre, then how many kilometers can Richard's car go on Rs.1500 of petrol?

## Question 4:

Mrs. Vijaya takes a total of 9 hours 50 minutes in walking a distance and running back to same place where she started. She could walk both ways in 12 hrs20 minutes. The time taken by her to run both ways is:

## Question 5:

Two buses start from a house at an interval of 5 minutes and move with a speed of 10 km/ hr in the same direction. With how much speed ( km/hr) should a woman coming from the opposite direction towards the house travel, to meet the buses at interval of 3 minutes?

## Question 6:

A car covers a certain distance in 8 hours at a speed of 50kmph. What should be the increase in speed to cover the same distance in 5 hours?

## Question 7:

Two buses X and Y leave from the same place and go in the same direction at speeds of 20kmph and 50kmph respectively. But, Y leaves 6 hours after X has left. How far from the starting place will the buses meet?

## Question 8:

Mahima, starting her journey 12 minutes late than usual, has to travel at a speed of $54 \mathrm{~km} / \mathrm{h}$ instead of $45 \mathrm{~km} / \mathrm{h}$ to reach the destination on time. What is the distance covered during the journey?

## Question 9:

A man covers $\frac{2}{11}$ part of his journey by train, $\frac{17}{22}$ by car and the rest by walking 1 kilometer.How far does he walk?

## Question 10:

A motor car goes from Mumbai to Pune at a speed of 20 km/h and comes back from there at a speed of 30 km/h. What is the average speed of the car for the whole journey?