If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.
Time taken to go to resort : x/48 Time taken to return : x/40 Total time = x/48+x/40 = 11 Solve for x common multiple between 48 and 40 = 240 so 5x/240 + 6x/240 = 11 (5x+6x)/240 = 11 11x = 11*240, => x=240 Distance from home to resort is 240 miles
