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 = [tex]\frac{distance}{speed}[/tex]
Time taken for car A
=> [tex]\frac{120}{x}[/tex]---------------------------(1)
Similarly
Time taken for car B
=> [tex]\frac{150}{x+10}[/tex]-----------------------(2)
Equating (1) and (2), we get
[tex]\frac{120}{x}[/tex] = [tex]\frac{150}{x+10}[/tex]
[tex]120 \times (x+10) = 150 \times x[/tex]
120x + 1200 = 150x
1200 = 150x-120 x
1200 = 30x
[tex]x= \frac{1200}{30}[/tex]
x= 40
Speed of car A = 40mph
Speed of car B = (x+10) = (x+40) = 50mph
