Mathematics
Grade6
Easy

Question

A jet plane travels 548 miles in 4 hours. At this rate, __________ miles can be travelled in 13 hours

  1. 1600
  2. 1500
  3. 1500
  4. 1781

Hint:

We are given the distance covered by a jet plane in 4 hours. It is 548 miles. We are also given that speed is constant. We have to find the distance travelled by plane in 13 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 13 hours.

The correct answer is: 1781


    The given values of distance and time is
    Distance = 548 miles
    Time = 4 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 13 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
space space space space space space space space space space space space space equals space fraction numerator 548 space m i l e s over denominator 4 space h o u r s end fraction
space space space space space space space space space space space space space equals space 137 space m i l e s space p e r space h o u r
space space
    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
    = 137 × 13
    = 1781 miles
    Therefore, the distance travelled by the jet plane in 13 hours is 1781 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.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.