Chain Rule

A boy can read $3$ chapters of each of $5$ books in $4$ hours. In how many hours, he can read $2$ chapters of each of $3$ books?

A man types $400$ questions in $1$ day at a speed $45$ questions per hour. In how many questions can be typed in $3$ days if his speed decreased to $30$ questions per hour?

If $12$ men can do a work in $6$ days. In how many days $10$ men can do $\frac{5}{6}$ th part of the work?

If $5$ pumps of same efficiency can filled a tank of $700 \mathrm{L}$ in $6$ hours. In how many hours $3$ pipes of same efficency can fill the tank of $700 \mathrm{L}$?

$8$ identical pumps can fill $260$ juice bottles per minute running at the constant rate. At this rate, how many juice bottles could $12$  such pumps fill in $4 \mathrm{minutes}$?

A child can pedal his toy bicycle a certain distance at a uniform speed in $100 \mathrm{days}$. How long will it take her to cover twice the distance at half the normal speed?

Village survivors of flood, is provided with ration for $90$ people to last for $70 \mathrm{days}$. For how much more time would the whole ration last if $10$ additional persons join them after $20 \mathrm{days}$?

A certain number of women can design a bunch of cloth in $180 \mathrm{days}$. If there are $30$ women less, it will take $20 \mathrm{days}$ more for the design to be completed. How many women were there originally?

$12$ farmers work $16 \mathrm{hours}$ a day to plant $24000$ seeds in $18 \mathrm{days}$. Now, $24$ farmers would plant how many seeds working $6$ hours a day in $36 \mathrm{days}$?

A contractor has promised a firm to complete the construction in $45$ days, for this he involved his $126$ men, each working $10$ hours a day. ${\left(\frac{3}{7}\right)}^{\mathrm{th}}$ work is finished after $30$ days. In order to complete the work within the prescribed time, how many additional men may be employed by the contractor if now, each man is working $12$ hours a day?

Ramlal works for a construction company. If he had been thrice as efficient as the present day, he would have completed the work in $15$ days and if his efficiency is reduced to half of what is at present, in how many days, Ramlal would be able to complete the work?

There are two types of reactors named $\mathrm{A}$ and $\mathrm{B}$. $8$ reactors of type $\mathrm{A}$ consume $20$ metric tons of coal if each such reactor works for $6$ hours per day. If $4$ reactors of type $\mathrm{A}$ consume as much as $6$ reactors of type $\mathrm{B}$, then how much coal (in metric tons) should be available for $10$ reactors of type $\mathrm{B}$, each running $12$ hours per day?

A contractor promised to the chief engineer that his $40$ men can complete a piece of work in $30$ days. Then in how many days $20$ men can do another piece of work that is  $2$ times greater than the previous work?

A boys hostel had arrangements for $250$ students for $60$ days. Due to the prevailing condition of Coronavirus in the area, $100$ students left the hostel after $12$ days. If the consumption of the food remains the same for the remaining students, then after how many days the food will be consumed completely?

If a number is twice the other number and their sum is $120$. find the value of square of largest number.

If $\frac{x}{y}=\frac{4}{3}$ is twice the ratio of $\frac{x+4}{y+3}$, then value of $x^2+y^2$ is _____.

If $\frac{5x+5}{2}=70\% \mathrm{of} 500$ then,find the value of $x$.

A contractor undertakes a job to build a temple in $27$ days. He employed a certain number of workers but $18$ of them being absent from the very first day, the rest can complete the temple in $45$ days. The number of workers originally were _____.

$25$ kids went to zoo taking money for $5$ $\mathrm{hours}$. After $2$ $\mathrm{hours}$ $5$ kids left the zoo. Remaining kids would enjoy the zoo for how much times?

$15$men can make a carpet of $60$meters in $8$ days. What length of similar carpet can be made by $24$men in $3$days?