SOLUTION: how would i solve this. {Michael traveled by car at an average speed of 12 miles per hour. Then, he traveled by bike at an average speed of 4 miles per hour. In total, he tr

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: how would i solve this. {Michael traveled by car at an average speed of 12 miles per hour. Then, he traveled by bike at an average speed of 4 miles per hour. In total, he tr      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 730830: how would i solve this.
{Michael traveled by car at an average speed of 12 miles per hour.
Then, he traveled by bike at an average speed of 4 miles per hour.
In total, he traveled 24 miles for 3 hours.
How many minutes did Michael travel by car? (Round to the nearest minute.)}


Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Hours by car = c
Hourss by bike = b

Which Vehicle___________speed___________time hours____________distance miles
car_____________________12 mph__________c_____________________12c
bike____________________4 mph___________b_____________________4b
TOTAL___________________________________3_____________________24

Develop the system from that data. Convert c and b into their equivalents in minutes.

EDITING: What I should have said was, develop the system from that data. Solve the system for b and c. Convert b and c into their equivalents in minutes.

The system to solve is:
highlight%28c%2Bb=3%29
highlight%2812c%2B4b=24%29