Mathematics
Grade6
Easy

Question

An aeroplane flies with a constant speed of 600 miles per 5 hours. If it travels at the same rate, distance travelled in 8 hours by the plane is ________________.

  1. 960
  2. 900
  3. 850
  4. 750

hintHint:

In this question, we are given the distance an aeroplane flies in 5 hours. It is 600 miles. Using this data, we are asked to find the distance an aeroplane flies in 8 hours given the rate is constant. We can try to find an equation using these quantities to get the value.

The correct answer is: 960


    The given values of distance and time are as follows:
    Distance = 600 miles
    Time = 5 hours
    We have to find the speed as it is given that the plane is flying at constant speed.
    S p e e d space equals fraction numerator D i s tan c e over denominator T i m 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 comma space w e space g e t
S p e e d space equals fraction numerator 600 space m i l e s over denominator 5 space h o u r s end fraction
space space space space space space space space space space space space space equals 120 space m i l e s space p e r space h o u r
    Now, as the rate or speed is constant, we can use this value to find the value of the distance travelled for at any other time.
    We have to find the distance travelled in 8 hours.
    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
    the formula to find distance. We will multiply both sides by time.
    Distance = Speed × Time
    = 120 miles/ hour × 8 hours
    = 960 miles
    Therefore, the distance travelled is 960 miles.
    So the option which is ‘960’, is the right option.

    We have to be careful about the units. Same quantities have same value.

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