# SOLUTION: On a trip of 800 km , Charlie drove at two different speeds. \in one province he drove at 100 km/h and in another at 110 km/h. If the entire trip took seven and one-half hours, the

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: On a trip of 800 km , Charlie drove at two different speeds. \in one province he drove at 100 km/h and in another at 110 km/h. If the entire trip took seven and one-half hours, the      Log On

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 Click here to see ALL problems on Travel Word Problems Question 180667: On a trip of 800 km , Charlie drove at two different speeds. \in one province he drove at 100 km/h and in another at 110 km/h. If the entire trip took seven and one-half hours, the distance travelled at the 110 km/h speed is?Answer by ankor@dixie-net.com(15639)   (Show Source): You can put this solution on YOUR website!On a trip of 800 km , Charlie drove at two different speeds. \in one province he drove at 100 km/h and in another at 110 km/h. If the entire trip took seven and one-half hours, the distance traveled at the 110 km/h speed is? ; Let d = distance traveled at 110 km/hr then (800-d) = distance traveled at 100 km/hr ; Write time equation: Time = dist/speed ; hrs at 110 + hrs at 100 = 7 hrs + = 7.5 : Multiply equation by 1100 to get rid of the denominators 1100* + 1100* = 1100(7.5) Results 10d + 11(800-d) = 8250 : 10d + 8800 - 11d = 8250 : 10d - 11d = 8250 - 8800 : -d = -550 : d = 550 km at 110 km/hr ; : Check solution by finding the actual times at each speed (800-550 = 250) 550/110 = 5 hrs 250/100 = 2.5 hrs ------------------ total hrs 7.5