Mathematics
Grade6
Easy
Question
A machine takes 3 minutes to prepare 6 fabrics, then ___________ fabrics are prepared in 1 hour.
- 100
- 120
- 105
- 115
Hint:
In this question, we are given the time taken by machine to make 6 fabrics. It is 3 minutes. We have to find the number of fabrics that a machine can make in 1 hour, given that the rate is constant. We can try to find an equation using these quantities and find the given value.
The correct answer is: 120
The machine requires 3 minutes to make 6 fabrics.
Let the number of fabrics be denoted by ‘N’.
N = 6
Time = 3 minutes.
We have to find the number of fabrics made in 1 hour. For that, we have to find the rate. We can find a rate by taking the ratio of the number of fabrics and the time required. The rate is constant.
Let’s see the formula.
Now, we have to find the number of fabrics made in 1 hour. We have found the rate in fabric per minute. So, we to make the units same. We will have to convert 1 hour into minutes. 1 hour is 60 minutes.
So the given time is
Time = 1 × 60 minutes
= 60 minutes
Let’s find the number of fabrics made in 60 minutes.
We will rearrange this equation for ‘N’. We will multiply both sides by time.
N = rate × time
N = 2 × 60
N = 120
Therefore, the machine makes 120 fabrics in 1 hour.
We have to be careful about the units. Same quantities must have same units. If necessary we need to convert units.
