Question

Marty and Juan took turns driving a cargo truck. The ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty. How many miles did Marty and Juan drive in all?

Answer 1

The total miles are 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7 and Juan drove 150 more miles than Marty.

Step-by-step explanation:

The given is,

                    Ratio of the miles Marty drove to the miles Juan drove is 6 to 7

                    Juan drove 150 more miles than Marty

Step:1

         Calculate the difference in the ratio of the miles Marty drove to the miles Juan drove,

                                         X = 7-6 = 1

         Calculate the difference in the miles of Marty drove to the miles of Juan drove,

                                         X = 150     ( Juan drove 150 more miles than Marty)

          Equate the Difference between ratio and miles,

          From the above values,

                                        X = 150 miles

Step:2

         From the ratio of Marty : Juan = 6 : 7

         Distance drove by Marty,

                                             = 6X = ( 6 × 150 ) = 900

                               Distance drove by Marty = 900 miles

          Distance drove by Juan,

                                             = 7X = ( 7 × 150 ) = 1050

                                Distance drove by Juan = 1050 miles

Step:3

           Check for solution,

           Difference in the miles of Marty drove to the miles of Juan drove              

                                            150 = 1050 - 900

                                            150 = 150

Result:

           The total miles are is 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty