SOLUTION: in a race, car A starts 1 mile behind car B. car A is traveling at 65 miles per hour, while car b is traveling at 55 miles per hour. how long will it take for car A to overtake ca

Question 1005078: in a race, car A starts 1 mile behind car B. car A is traveling at 65 miles per hour, while car b is traveling at 55 miles per hour. how long will it take for car A to overtake car b?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
From the starting time reference point, car A must go d+1 miles while car B must just go d miles; time t is the same for both cars.

         rate     time    distance
carA       65      t      d+1
carB       55      t       d

RT=D uniform travel rates rule.
The work should be clear to find.

...that is, , to solve this system. Make the obvious substitution:

the fraction of one hour, which is 6 minutes.
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