Question

On his drive from Montpelier, Vermont, to Columbia, South Carolina, Arthur averaged 51 mph. If he had been able to average 60 mph, he would have reached his destination 3 hr earlier. What is the driving distance between Montpelier and Columbia?

Answer 1

Distance between Montpelier and Columbia is 1020

Explanation:

51 mi/hr average:

d = 51 t

60 mi/hr average:

d t = 60*(t-3)

Substitute (1) into (2)

51 t = 60*(t-3)

51 t = 60 t + 180

9 t = 180

t = 20

d = 51 t

= 51 (20)

= 1020

let see distance is 1020 lets check

51 t = 60 * (t-3)

51 (20)= 60* (20-3)

1020 = 60*17

1020 = 1020