Answered

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:


Car A

y = 60x + 10


Car B

y = 40x + 70


After how many hours will the two cars be at the same distance from their starting point and what will that distance be?


2 hours, 150 miles

2 hours, 190 miles

3 hours, 150 miles

3 hours, 190 miles

Verified Answer :

georgiatrn

when the cars are at the same distance from the starting point the y will be the same for both of the equations.
which means that 60x + 10 = 40x + 70

⇒ 60x-40x=70-10 
⇒ 20x=60
⇒ x=3 hours

now that we know the x we can choose an equation and solve it

60x3+10=y⇒
⇒y=180+10
⇒y=190 miles

the correct answer is the last one: 3 hours, 190 miles

chasetomp247

Answer: 3 hours, 190 miles

Step-by-step explanation: ''-"

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