Question 1101219
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Let D be the distance from their home to the resort, in miles.


The way from the home to the resort at 48 mph took  {{{D/48}}}  hours  ({{{time}}} = {{{distanse/speed}}}).

The returning trip at 32 mph took  {{{D/32}}}  hours.


As the condition says, the two-ways trip took 10 hours, in all.

It gives you an equation

{{{D/48}}} + {{{D/32}}} = 10.


To solve it, multiply both sides by 96  (which is less common multiple of the numbers 48 and 32). You will get

2D + 3D = 96*10  ====>  5D = 960  ====>  D = {{{960/5}}} = 192.


<U>Answer</U>.  The one way distance is 192 miles.


<U>Check</U>.   {{{192/48}}} + {{{192/32}}} = 4 + 6 = 10 hours.  ! Correct !
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