Mathematics
Grade6
Easy

Question

Meera takes 12 minutes to swim 4 laps. ___________ hours are taken by Meera to swim 45 laps at the same rate.

  1. 125
  2. 130
  3. 135
  4. 127

Hint:

In the question posed, we are given time taken by Meera to swim 4 laps. It is 12 minutes. We have to find the time taken by Meera to swim 45 laps at the same rate. From the first data, we can find out the rate at which Meera is swimming. Using this value, we can find the required quantity.

The correct answer is: 135


    Time taken by Meera to swim 4 laps is 12 minutes.
    We have to find the rate at which Meera swims. We will find it by taking the ratio of the number of laps and the time required to cover the laps. As the rate is constant, we will use this value to find the time required to cover 45 laps.
    So the equation becomes
    R a t e space equals fraction numerator N u m b e r space o f space l a p s over denominator T i m e end fraction
space space space space space space space space space equals 4 over 12
space space space space space space space space equals 1 third
    So the rate = 1/3 laps per minute.
    Let’s find the time taken by Meera to swim 45 laps.
    R a t e space equals fraction numerator N u m b e r space o f space l a p s over denominator T i m e end fraction
    We will rearrange this equation for time .
    For this we will multiply both sides by time and divide by rate.
    T i m e space equals fraction numerator N u m b e r space o f space v a l u e s over denominator R a t e end fraction
s u b s t i t u i t i n g space t h e space v a l u e s
T i m e space equals space fraction numerator 45 over denominator begin display style 1 third end style end fraction
T i m e space equals space 135 space m i n u t e s
    Therefore, time taken my Meera to cover 45 laps is 135 minutes.

    We have to be careful about the units. We have to make sure same quantities have same unit

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