Question

A plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane.

Answer 1

Answer:

The speed of Plane (Sp) = 170 mile per hour    

Step-by-step explanation:

Given as ,

Distance travel by Plane (Dp) = 1020 miles

Distance travel by Car    (Dc) =  360 miles

Time taken by Car (Tc ) = Time taken by Plane (Tp) = T   hour

Let the speed of Plane = Sp mile per hour  

So, Speed of Car = Sp - 110 mile per hour

Now from Distance formula ,  Distance = Speed × Time

Then , Dp = Sp × Tp =  Sp × T

And    Dc = (Sp - 100) × Tp = (Sp - 100) × T

So, $\frac{Dp}{Dc}$ = $\frac{Sp}{Sp - 110}$

     $\frac{1020}{360}$ = $\frac{Sp}{Sp - 110}$

     $\frac{51}{18}$ = $\frac{Sp}{Sp - 110}$

Or, 51 ( Sp - 110) = 18 Sp

i.e   51 Sp - 5610 = 18 Sp

Or,  51 Sp - 18 Sp = 5610

Or,              33 Sp = 5610

∴                      Sp = $\frac{5610}{33}$ = 170  mph

Hence the speed of Plane (Sp) = 170 mile per hour       Answer