Question

At the beginning of a month, a factory has enough materials to make $240$ tons of steel in a month. If $60$ more tons of steel is to be made that month, how long will the materials last?

Answer 1

Case1:

Time taken to make $240$ tons of steel $=30$ days

i.e., Quantity of steel $=240$ tons

Number of days $=30$ days.

Case 2:

Here, $60$ more tons of steel given.

i.e., Quantity of steel $=240+60=300$tonnes

Let the required number of days $=x$

Since, the raw material required to manufacture steel is constant, therefore,

$300\times x=240\times 30$

$\Rightarrow x=\frac{240\times 30}{300}$

$\Rightarrow x=24$

Hence, required number of days $=24$ days

Therefore, the materials will last for $24$ days if $60$ more tons of steel is to be made that month.