To travel 68 miles, it takes Sue, riding a moped, 4 hours less time than it takes Doreen to travel 80 miles riding a bicycle. Sue travels 7 miles per hour faster than Doreen. Find the times and rates of both girls.
A)Sue: 17 mph for 4 hours, Doreen: 10 mph for 8 hours
B)Sue: 10 mph for 4 hours, Doreen: 17 mph for 8 hours
C)Sue: 21 mph for 8 hours, Doreen: 14 mph for 12 hours
D)Sue: 4 mph for 17 hours, Doreen: 10 mph for 8 hours
E)Sue: 27 mph for 4 hours, Doreen: 20 mph for 8 hours

Question

Quizplus · Accepted Answer

Sue travels 68 miles in 4 hours at 17 mph (68/4 = 17). Doreen travels 80 miles in 8 hours at 10 mph (80/8 = 10). Sue's speed is 7 mph faster than Doreen's (17 - 10 = 7), and Sue takes 4 hours less than Doreen (8 - 4 = 4).

To Travel 68 Miles, It Takes Sue, Riding a Moped