Kiran drove from City A to City B, a distance of 288 mi. She increased her speed by 19 mi/h for the 400-mi trip from City B to City C. If the total trip took 8 h, what was her speed from City A to City B?

Answer 1

time = distance / rate

(288 / s) + [400 / (s + 19)] = 8

288 s + (19 * 288) + 400 s = 8 * s * (s + 19)

36s + 684 + 50 s = s^2 + 19 s

0 = s^2 - 67 s - 684 ... solve the quadratic for s

Kiran has a heavy foot...