Mathematics
Grade6
Easy

Question

A machine takes 3 minutes to prepare 6 fabrics, then ___________ fabrics are prepared in 1 hour.

  1. 100
  2. 120     
  3. 105
  4. 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.
    R a t e space equals fraction numerator N over denominator T i m e end fraction
S u b s t i t u t i n g space t h e space v a l u e s.
R a t e space equals space fraction numerator 6 space f a b r i c s over denominator 3 space m i n u t e s end fraction
space space space space space space space space space equals space 2 space f a b r i c s space p e r space m i n u t e
    R a t e space equals fraction numerator N over denominator T i m e end fraction
    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.

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