Sarvesh K Verma Solutions for Chapter: Time, Speed and Distance, Exercise 2: CAT - Test Questions Helping You Bell the CAT

Two persons, Alif and Laila start at the same time from Allahabad and Lucknow and proceed towards each other at $45 \mathrm{km}/\mathrm{h}$ and $54 \mathrm{km}/\mathrm{h}$ respectively. When they meet, it is found that one of them has travelled $72 \mathrm{km}$ more than the other. The distance between the places (in $\mathrm{km}$ ) is: 

Walking at $4/5$ of his normal speed, Dewang is $15$ minutes late in reaching his club. What is the usual time taken by him to cover the distance?

Walking at $3/4$ of her normal speed Malleshwari takes $2$ hours more than the normal time. What is the normal time?

Walking at $3/2$ of his normal speed Shekhawat takes $40$ minutes less than the usual time? What is the changed (new) time taken by Shekhawat?

Sachin and Mongiya starting from the same place walk at the rate of $7.5 \mathrm{km}/\mathrm{h}$ and $9 \mathrm{km}/\mathrm{h}$ respectively. What time will they take to be $7.5 \mathrm{km}$ apart, if they walk in the same direction?

Sabarmati express takes $18$ seconds to pass completely through a station $162 \mathrm{m}$ long and $15$ seconds through another station $120 \mathrm{m}$ long. The length of the Sabarmati express is :

A train $200 \mathrm{m}$ long travels at the speed of $72 \mathrm{km}/\mathrm{h}$. A man is running at $3.6 \mathrm{km}/\mathrm{h}$ in the same direction in which the train is going. The train will pass the man in :

What is the angle between the hands of a clock when the time is $15$ minutes past $6$ ?