West Bengal Board Solutions for Chapter: Rule of Three, Exercise 3: Let's work out 10.2

A Company has got the work of unloading goods from a ship in $10$ days. $280$ heads of people have been employed for this purpose After $3$ days it is seen that ${\frac{1}{4}}^{\mathrm{th}}$ of the work has been completed. Let's work out using the method of the Rule of Three how many heads of people are to be engaged to complete the work in time.

A Power-loom is $2\frac{1}{4}$ times more powerful than a hand-loom. $12$ hand-looms weave $1080$ meters length of cloth in $18$ days. How many power-looms will be required to weave $2700$ meters length of cloth in $15$ days?

$2400$ Bighas of land of a Cooperative Society can be cultivated by $25$ farmers in $36$ days. It was seen that half of the land of the Society could cultivate in $30$ days after purchasing a tractor. Work out the power of a tractor equivalent to the number of farmers using the method of Rule of Three.

A ship takes $25$ days to sail from Kolkata to Cochin. The ship started with $36$ sailors for each of which $850 \mathrm{gm}$ of food was allotted. But the ship rescued $15$ sailors from another sinking-ship after $13$ days of journey and the ship reached Cochin in $10$ days increasing the speed. Let's work out using the method of the Rule of Three what will be the quantity of food to be consumed by of each sailor to reach Cochin safely and the entire storage of food would be consumed by this time.

$36$ heads of people of a certain village can construct $120$ meters of road working $6$ hours daily in $12$ days. Another $6$ heads of people are involved in this work and the duration of work of each day is increased by $2$ hours. Work out using the method of the Rule of Three the length of road to be constructed in $9$ days.

$250$ heads of people can dig a pond of size $50$ meters long, $35$ metres wide and $5.2$ metres deep in $18$ days by working $10$ hours daily. How many days it will take for $300$ people to dig a pond of size $65$ metres long, $40$ metres wide and $5.6$ metres deep by working $8$ hours daily?

Find out the value of $k$ by the Rule of Three:

Find out the value of $k$ by the Rule of Three: