Question 625909
<pre>

The other tutor just found the two times, not the distances.
You'd have to multiply them by the rates to get the distances.

Make this DRT chart:

          DISTANCE    RATE    TIME = {{{DISTANCE/RATE}}}}
going        x         10         x/10 
coming       x          4         x/4
total       2x                     5

                   {{{x/10}}} + {{{x/4}}} = 5

Multiply through by 20

       20·{{{x/10}}} + 20·{{{x/4}}} = 20·5

            2x + 5x = 100
                 7x = 100
                  x = {{{100/7}}} = {{{14&2/7}}} miles

So he will ride a total of {{{28&4/7}}} miles

Edwin</pre>