Linda and Carrie made a trip from their hometown to a city about 200 miles away to attend a friend's wedding. The following chart shows their distances, stops and times. What part of their total trip did they spend driving?3hr(driving) A=4/5 15min( rest stop) B=2/51 and 1/2hr(driving) C=58/731hr(rest stop) D=99/10020min(driving)
Accepted Solution
A:
The correct answer is C) 58/73.
We first add up the amount of time spent driving: 3 + 1 1/2 + 20 minutes
Changing 20 minutes to a fraction of an hour, 20/60 = 1/3: 3 + 1 1/2 + 1/3
Using the LCD (6), 3 + 1 3/6 + 2/6 = 4 5/6 hrs driving.
Now we find the total time of the trip: 3 + 15 min + 1 1/2 + 1 + 20 min = 3 + 15/60 + 1 1/2 + 1 + 20/60 = 3 + 1/4 + 1 1/2 + 1 + 1/3
The LCD for this is 12: 3 + 3/12 + 1 6/12 + 1 + 4/12 = 5 13/12 = 6 1/12
We find the ratio of driving to total time, which is (4 5/6)/(6 1/12) = 4 5/6 ÷ 6 1/12
Converting the mixed numbers to improper fractions,