Mathematics
Grade6
Easy

Question

Ron covered 560 yards in 7 seconds. __________ yards can be covered in 10 seconds

  1. 250
  2. 400
  3. 650
  4. 800

Hint:

We are given the number of yards covered by Ryan in 7 seconds. It is 560. We are asked the number of yards he covers in 10 seconds. We can solve this by taking the ratio of the first data and equating it with the second data, as the rate is constant.

The correct answer is: 800


    Let the number of yards covered be denoted as 'N’.
    For first case the given values are
    N = 560
    Time = 7 seconds.
    To find the rate at which he is covering the land we will take the ratio of number of yards to the time.
    R a t e space equals fraction numerator N over denominator T i m e end fraction
space space space space space space space space space space equals space fraction numerator 560 space y a r d s over denominator 7 space s e c o n d s end fraction
space space space space space space space space space space equals space 80 space y a r d s space p e r space s e c o n d
    As the rate is constant, we will use this value to find the number of yards covered in 10 Seconds
    R a t e space equals space fraction numerator N over denominator T i m e end fraction
    Rearranging the equation for N, we get
    Rate × Time = N
    N = Rate × Time
    = 80 × 10
    = 800
    So, number of yards covered in 10 seconds is 800.

    For such questions, we should be careful about the units. The other way method to solve it would be to directly take the ratios and equate them. As the rate is constant, the ratio of the quantities will be constant. So we will consider the quantity we want to find as some variable, and then equate the ratios. It will be shortcut.

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