SOLUTION: a traveler finished 35% of his trip in the first 3 hours. If he had traveled 70 miles, how many more hours did he need to go if he continued at the same rate of speed

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Question 842653: a traveler finished 35% of his trip in the first 3 hours. If he had traveled 70 miles, how many more hours did he need to go if he continued at the same rate of speed
Found 2 solutions by ewatrrr, LinnW:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

a traveler traveled 70 miles, finishing 35% of his trip in the first 3 hours.

Traveled at r = 70m/3hr , still had highlight_green%28x%29 miles left

.35%2F70mi+=+.65%2Fx  Cross Multiplying to solve

   x = .65•70mi/.35 = 130mi left

how many more hours did he need to go if he continued at the same rate of speed

 t = D/r = %28130m%29%2F%2870m%2F3hr%29 = 39/7 =  5.57 hr

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
70 miles in 3 hours, so speed is 70/3 miles/hour
Since 35% of his trip takes 3 hours
35%2F100+=+3%2Fx where x is the number of hours for the whole trip
so 35x = 3*100
35x = 300
x = 300/35 hours
rate * time = distance
(70/3)*(300/35) = 200 total distance to travel
Since the traveler has traveled 70 miles so far,
there are (200-70) = 130 miles to go
70%2F3+hours+=+130%2Fx where x is the time to complete the trip
70x = 3*130
70x = 390
x = 390/70 = 5.5714 hours to go