Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 10 miles per hour slower than the eastbound train. If the two trains are 750 miles apart after 5 hours, what is the rate of the westbound train?

The rate of the westbound train is 70 miles per hour.

Step-by-step explanation:

       The given is,

             Two trains leave the station at the same time, one heading west and the other east.

             The westbound train travels 10 miles per hours slower than the eastbound train.

             If the two trains are 750 miles apart after 5 hours

Step:1

            Let, X - Rate of the Eastbound train

                   Y - Rate of the westbound train

                       - (X-10)

Step:2

           From the given,

                T - Total distance traveled by both trains

                T = 750 Miles

                 t = Time taken by each trains

                 t = 5 hours

Step:3

          From the given,

              T = (X+Y) × t

           750 = (X × t) + (Y × t)

                   = 5X + 5X -50

                   =  10X - 50

           800 =  10X

              X = 80

               Y = 80 - 10 = 70

Step:4

        From the assumed values,

                 X = 80 miles per hours

                 Y = 70 miles per hours

Result:

        The rate of the westbound train is 70 miles per hour.

1/5^2 = 7.56/45

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x