Question

A certain industrial loom weaves \[0.128\] m of cloth every second. Approximately how many seconds will it take for the loom to weave \[25\] m of cloth?

Answer 1

Hint: At first, we will find the time taken by the loom to weave one meter of cloth. With respect to that we will find the time of weaving of \[25\] m of cloth.

Complete step-by-step answer:
It is given that a certain industrial loom weaves \[0.128\] m of cloth every second. We have to find the time that it will take to weave \[25\] m of cloth.
We will apply a unitary method to solve the question.
It is given that the loom weaves \[0.128\] m of cloth in \[1\] second.
The loom weaves \[1\] m of cloth in \[\dfrac{1}{{0.128}}\] seconds.
That is in \[\dfrac{1}{{0.128}}\] seconds the loom weaves \[1\] m of cloth.
So for 25 m the loom should take 25 times the time taken to weave 1m of cloth.
That is the loom weaves \[25\] m of cloth in \[\dfrac{{25}}{{0.128}}\] seconds.
Let us simplify the above fraction we get,
The required time is \[195.3 \approx 195\] seconds.
Hence, the loom will take \[195\] seconds to weave \[25\] m of cloth.

Note: We can solve this sum directly. We know that it will take more time to weave \[25\] m of cloth.
So, the required time is \[\dfrac{{25}}{{0.128}}\] seconds that is \[195.3 \approx 195\] seconds.
Since 60 seconds is 1 minute we can say that it takes 3 minutes 15 seconds to loom 25 m cloth.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. In other words, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.