Question

Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles

Answer 1

the answer is

A. 1.875 hours

C. 5.625 miles

D. 11.25 miles

Explanation:

magic

Answer 2

Time taken to travel at 3 miles = 1.875

Time taken to travel at 5miles = 1.125

Total distance = 11.25

Explanation:

D = speed x time

Time = distance/speed

Time at 3 miles per hour and 5 miles per hour

T1 = d/3

T2 = d/5

Total time = 3 hours

T1+t2 = 3 hours

d/3 + d/5 = 3

= d(1/2+1/5) = 3

d(5+3/15) = 3

d(8/15) = 3

We cross multiply

8d = 45

d = 45/8

= 5.625 miles

Total distance = 2d

2x5.625 = 11.25 miles

Since d is now known

T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes

T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes

Total distance 2xd = 11.25