Mathematics
Grade6
Easy

Question

Rebecca rides her horse with a constant speed of 15 miles per hour. Time taken by her to ride 10 miles is _____________ minutes.

  1. 10
  2. 20
  3. 30
  4. 40

Hint:

In this question, we are given the speed at which Rebecca is riding the horse. It is 15 miles per hour. Using this data, we are asked to find the time taken by her to ride 10 miles, given the rate is constant. We can try to find an equation using these quantities to get the value.

The correct answer is: 40


    The given value of speed is 15 miles per hour
    Speed = 15 miles/hour
    Now, as the rate or speed is constant we can use this value to find the value of time required to travel 10 miles
    Let’s see the formula
    S p e e d space equals space fraction numerator D i s tan c e over denominator T i m e end fraction
    Rearranging the formula to find time. We will multiply both sides by time and divide by speed.
    T i m e space equals fraction numerator D i s tan c e over denominator S p e e d 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 comma space w e space g e t
T i m e space equals space fraction numerator 10 space m i l e s over denominator 15 begin display style fraction numerator m i l e s over denominator h o u r end fraction end style end fraction
T i m e space equals space 2 over 3 h o u r
    We have to find time in minutes. So we will convert hour into minutes. 1 hour is 60 minutes. So we will multiply the above equation by 60.
    Time =  2 over 3 × 60
    Time = 40 minutes
    Therefore, the time taken by Rebecca to ride the distance of 10 miles is 40 minutes.
    So the option which is ‘40’, is the right option

    We have to be careful about units in such questions. Same quantities must have same units.

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