SOLUTION: Bert drives his car from home 40 miles per hour going to work and 50 miles per hour coming back on the same road. Everyday, he drives a total of 1 hour. What is the distance from B

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Bert drives his car from home 40 miles per hour going to work and 50 miles per hour coming back on the same road. Everyday, he drives a total of 1 hour. What is the distance from B      Log On


   

Question 1011608: Bert drives his car from home 40 miles per hour going to work and 50 miles per hour coming back on the same road. Everyday, he drives a total of 1 hour. What is the distance from Bert’s house to his work, rounded to the nearest mile.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
GOTO        40        d/40         d
BACK        50        d/50         d
Total                 1


highlight%28d%2F40%2Bd%2F50=1%29;
Solve for d and you are done (after round to nearest mile).


Denominators:
2*2*2*5, and 2*5*5;

%28d%2F40%29%285%2F5%29%2B%28d%2F50%29%284%2F4%29=1
5d%2F200%2B4d%2F200=1
%289d%29%2F200=1
d=200%2F9
Rounds to 22 miles.