Question

Car A travels 120 miles in the same time that car B travels 150 miles. If car B averages 10 mph faster than car A, what is the speed of each car?

Answer 1

Answer:

Speed of car A = 40 mph

Speed of car B =  50 mph

Step-by-step explanation:

Given:

Distance travelled by car A  = 120 miles

Distance travelled by car B  =  120 miles

To Find:

speed of each car = ?

Solution:

Let the speed of car A be x

then  speed of car B is (x +10)

The Time taken for each car is same

Time taken for car A =  Time taken for car B

We know that time  = $\frac{distance}{speed}$

Time taken for car A

=> $\frac{120}{x}$---------------------------(1)

Similarly

Time taken for car B

=> $\frac{150}{x+10}$-----------------------(2)

Equating (1) and (2), we get

$\frac{120}{x}$ =  $\frac{150}{x+10}$

$120 \times (x+10) = 150 \times x$

120x + 1200 = 150x

1200 = 150x-120 x

1200 = 30x

$x= \frac{1200}{30}$

x= 40

Speed of car A = 40mph

Speed of car B = (x+10) = (x+40) = 50mph