Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains at a rate of 2 miles every 15 minutes.
How long will each person take to run a total of 50 miles at the given rates?
Answer provided by our tutors
d = 50 mi the distance t1 = the time of Terrance t2 = the time of Jesse Terrance trains at a rate of 6 miles every half hour thus his rate is: v1 = 6/0.5 = 12 mph Jesse trains at a rate of 2 miles every 15 minutes thus his rate is: v2 = 2/(15/60) = 8 mph since speed = distance/time follows time = distance/speed: t1 = d/v1 t1 = 50/12 t1 = 4 1/6 hr t1 = 4 hr 10 min t2 = d/v2 t2 = 50/8 t2 = 6 1/4 hr t2 = 6 hr 15 min Terrance will run 4 hours and 10 minutes. Jesse will run 6 hours and 15 minutes.
