Arun Sharma Solutions for Exercise 3: Review Test

A thief after committing a burglary, started fleeing at $12:00$ noon at the speed of$60 \mathrm{kmph}$. He was then chased by a policeman $\mathrm{X}. \mathrm{X}$ started the chase $15 \mathrm{minutes}$after the thief had started at a speed of $65 \mathrm{kmph}$.

At what time did $\mathrm{X}$catch the thief?

A thief after committing a burglary, started fleeing at $12:00$ noon at the speed of$60 \mathrm{kmph}$. He was then chased by a policeman $\mathrm{X}. \mathrm{X}$ started the chase $15 \mathrm{minutes}$after the thief had started at a speed of $65 \mathrm{kmph}$.

$\mathrm{A}$and $\mathrm{B}$walk from $\mathrm{X}$to $\mathrm{Y}$, a distance of $27 \mathrm{km}$ at $5 \mathrm{kmph}$ and $7 \mathrm{kmph},$ respectively. $\mathrm{B}$reaches $\mathrm{Y}$and immediately turns back meeting $\mathrm{A}$at $\mathrm{Z}$. What is the distance from $\mathrm{Y}$ to $\mathrm{Z}$?

A motorist leaves the post office to go to the airport to collect mail. The plane arrives early, and the mail Is sent on a horse-cart. After half an hour, the motorist meets the horse-cart, collects the mail and returns to the post office, thus saving$20 \mathrm{minutes}$. How many minutes early did the plane arrive?

In his book on Leonardo da Vinci, Sigmund Freud, after a detailed psychoanalysis concluded that Goethe could complete the masterpiece in nine days as he could channelize overly but was more possessed as a result of which he could generate $50\%$ more efficiency than Goethe. The number of days it takes Leonardo da Vinci to do the same piece of work that Goethe completes in nine days is:

The North South Express is a pair of trains between the cities Jammu & Chennai. A train leaves Jammu for Chennai exactly at $\mathrm{12 }\mathrm{noon}$every day of the week. Similarly, there is a train that leaves from Chennai to Jammu on every day of the week at exactly $12 \mathrm{noon}$. The time required by a train to cover the distance between Chennai &jammu is exactly $7 \mathrm{days} \mathrm{and} 1 \mathrm{minute}$. Find the number of trains from: Chennai to Jammu which a train from Jammu to Chennai will encounter in completing its journey. (Assume all trains run exactly on time).

The North South Express is a pair of trains between the cities Jammu & Chennai. A train leaves Jammu for Chennai exactly at $\mathrm{12 }\mathrm{noon}$every day of the week. Similarly, there is a train that leaves from Chennai to Jammu on every day of the week at exactly $12 \mathrm{noon}$. The time required by a train to cover the distance between Chennai &jammu is exactly $7 \mathrm{days} \mathrm{and} 1 \mathrm{minute}$. Find the number of trains from: Chennai to Jammu which a train from Jammu to Chennai will encounter in completing its journey. (Assume all trains run exactly on time).

There are two candles each of the same initial length. The first candle can burn for $24 \mathrm{hours}$, while the second candle can burn for $16 \mathrm{hours}$. Both of them are lit at the same time. After sometime, it was found that one of the candles was twice as long as the second. For how long had the candle been burning?