SOLUTION: Three friends took a short hike uphill at a steady pace of 1.5 mph and then downhill at a rate of 4 mph. If the time to climb the hill took an hour more than the time to hike down

Algebra ->  Probability-and-statistics -> SOLUTION: Three friends took a short hike uphill at a steady pace of 1.5 mph and then downhill at a rate of 4 mph. If the time to climb the hill took an hour more than the time to hike down       Log On


   

Question 1168399: Three friends took a short hike uphill at a steady pace of 1.5 mph and then downhill at a rate of 4 mph. If the time to climb the hill took an hour more than the time to hike down the hill, how long was the entire hike?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
distance = rate*time
time up =t
distance up is 1.5t
time down is t-1
distance down is 4(t-1)=4t-4
the distances are equal
so 1.5t=4t-4
2.5t=4
t=8/5 or 1.6 hr.
the distance uphill was 2.4 miles (1.6*1.5)
the distance downhill was 2.4 miles (0.6*4)
The whole hike was 4.8 miles.