To find out when the two cars will be at the same distance from their starting points, we set the two equations equal to each other and solve for x:
60x + 10 = 40x + 70
20x = 60
x = 3
So the two cars will be at the same distance from their starting points after 3 hours.
To find the distance at that time, we can substitute x = 3 into either equation:
Car A: y = 60(3) + 10 = 180 + 10 = 190 miles
Car B: y = 40(3) + 70 = 120 + 70 = 190 miles
Therefore, after 3 hours, both cars will be 190 miles from their starting points. So the answer is 3 hours, 190 miles.
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? (5 points)
2 hours, 150 miles
2 hours, 190 miles
3 hours, 150 miles
3 hours, 190 miles
1 answer
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