How long will each person take to run a total of 50 miles at the given rates?

Terrance trains at a rate of 6 miles and every half hour

Jesse trains at a rate of 2 miles every 15 minutes

Problema Solution

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.