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

Hint:

We are given the distance covered by an aeroplane in 5 hours. It is 600 miles. We are also given that speed is constant. We have to find the distance travelled by plane in 8 hours. To solve this equation, we will find the value of speed. Once we find the value of speed, we will use this to find the distance travelled in 8 hours.

The correct answer is: 960


    The given values of distance and time is
    Distance = 600 miles
    Time = 5 hours
    To solve the equation, we will find speed. We will find the speed by taking the ratio of distance to time. As speed is constant, we will use this to find the value of the distance travelled in 8 hours.
    Let’s see the formula
    S p e e d equals fraction numerator D i s tan c e over denominator T i m e end fraction
space space space space space space space space space space space space equals fraction numerator 600 space m i l e s over denominator 5 space h o u r end fraction
space space space space space space space space space space space equals space 120 space m i l e s space p e r space h o u r
    Let’s use the value of speed to find the second distance..
    S p e e d equals fraction numerator D i s tan c e over denominator T i m e end fraction
    We will rearrange the formula for distance. We will multiply the L.H.S and R.H.S of the equation by time.
    Speed × Time = Distance
    Distance = Speed × Time
    = 120 × 8
    = 960 miles
    Therefore, the distance travelled by the areoplane in 8 hours is 960 miles.

    The other method is to take the ratios and directly equate them. As the rate is constant, so the ratios will be constant. So we will consider the quantity we have to find as x and then equate the ratios. It will be a shortcut.

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