SOLUTION: ben drove the first part of his trip at an average speed of 40 mph. After his car broke down, he finished the trip by bus at an average speed of 60 mph. If the total trip took 9 ho

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Question 1188748: ben drove the first part of his trip at an average speed of 40 mph. After his car broke down, he finished the trip by bus at an average speed of 60 mph. If the total trip took 9 hours and covered 480 miles, how many miles did Ben travel by bus?
Answer by ikleyn(52772) About Me  (Show Source):
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ben drove the first part of his trip at an average speed of 40 mph.
After his car broke down, he finished the trip by bus at an average speed of 60 mph.
If the total trip took 9 hours and covered 480 miles, how many miles did Ben travel by bus?
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It can be solved by different ways.

Probably, the simplest way is to use this time equation


    %28480-d%29%2F40 + d%2F60 = 9  hours.


where "d" is the distance traveled by bus.



To solve it, multiply both sides by 120; then simplify


    3*(480-d) + 2d = 9*120

    1440 - 3d + 2d = 1080

    1440 - 1080 = 3d - 2d

        360     =   d


ANSWER.  The distance traveled by bus is 360 miles.

Solved.