Question 144426
A= distance driven by 1st car (30 mpg)
1st car used A/30 gallons
B= distance driven by 2nd car (25 mpg)
2nd car used B/25 gallons
A+B = 1525
A/30 + B/25 = 55
A = 1525-B
(1525-B)/30 + B/25 = 55
Multiply by 150 to clear fractions
5(1525-B) + 6B = 8250
7625-5B + 6B = 8250
B + 7625 = 8250
B = 625 miles
A = 900 miles