SOLUTION: In solving the problem below, use a variable/s to represent the unknown quantity or quantities. Formulate the equation that will solve the problem. Solve the equation and check if

Algebra ->  Expressions-with-variables -> SOLUTION: In solving the problem below, use a variable/s to represent the unknown quantity or quantities. Formulate the equation that will solve the problem. Solve the equation and check if       Log On


   

Question 912784: In solving the problem below, use a variable/s to represent the unknown quantity or quantities. Formulate the equation that will solve the problem. Solve the equation and check if your solution is valid. Thank you!
Two cars traveled the same distance. Car J traveled at 50 miles per hour and car C at 60 miles per hour. It took car J 50 minutes longer to make the trip. How long did it take car C to make the same trip?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Let d be the distance each car goes for making the trip.

t, the time in hours for car C to make trip of distance d
d, the trip distance each of the two cars makes

____________________rate________time________distance
J___________________50__________t+5/6_______d
C___________________60__________t___________d

Notice 50 minutes is 50%2F60=5%2F6 hours, and you can understand that time for C is less than time for J, consistent with how their rates contrast.

Uniform Rates basic rule for travel, RT=D rate time distance.