SOLUTION: A, B, and C each drove 100 mile lengths of a 300 mile course at speeds of 40, 50 and 60 miles per hour respectively. What fraction of the total time did A drive?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A, B, and C each drove 100 mile lengths of a 300 mile course at speeds of 40, 50 and 60 miles per hour respectively. What fraction of the total time did A drive?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 621942: A, B, and C each drove 100 mile lengths of a 300 mile course at speeds of 40, 50 and 60 miles per hour respectively. What fraction of the total time did A drive?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A, B, and C each drove 100 mile lengths of a 300 mile course at speeds of 40, 50 and 60 miles per hour respectively.
:
Find the total time (time = dist/speed)
t = 100%2F40 + 100%2F50 + 100%2F60
t = 10%2F4 + 10%2F5 + 10%2F6
t = 150%2F60 + 120%2F60 + 100%2F60
t = 370%2F60
total = 37%2F6 hrs
:
"What fraction of the total time did A drive?"
A time/total time. (Invert the dividing fraction and multiply)
10%2F4 * 6%2F37
t = 60%2F148
t = 15%2F37 of the total time