# SOLUTION: A car is moving with 30 km/h, and passes the distance between A and B 54 minutes faster than a bycicle that runs with 12 km/h. What is the distance between A and B?

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 Question 338715: A car is moving with 30 km/h, and passes the distance between A and B 54 minutes faster than a bycicle that runs with 12 km/h. What is the distance between A and B?Answer by ankor@dixie-net.com(15622)   (Show Source): You can put this solution on YOUR website!A car is moving with 30 km/h, and passes the distance between A and B 54 minutes faster than a bicycle that runs with 12 km/h. What is the distance between A and B? : Let d = the distance from A to B : Change 54 min to .9 hrs : Write a time equation, Time = dist/speed : Car time + .9 hr = Bike time + .9 = multiply by 60 to get rid of the denominators, results: 2d + 60(.9) = 5d 54 = 5d - 2d 54 = 3d d = d = 18 km is the distance from A to B : : Check the solution by finding the travel time of each 18/12 = 1.5 hr 18/30 = 0.6 hrs ------------------ differ: .9 hr which is 54 min