It takes Dwight 1 1/3 hours to run the sunshine trail. Mike 3 1/5 hours to walk the same trail. How many times as long does it take Mike to walk the trail as it takes Dwight to run the trail?

Respuesta :

For this case we convert the mixed numbers to fractions:

Dwight:[tex]1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {4} {3} = 1.33[/tex]

Mike:[tex]3 \frac {1} {5} = \frac {5 * 3 + 1} {5} = \frac {16} {5} = 3.2[/tex]

It is observed, that in fact, Mike takes more time to travel the road.

We subtract to know how much more time it takes Mike:

[tex]\frac {16} {5} - \frac {4} {3} = \frac {48-20} {15} = \frac {28} {15}[/tex]

So, Mike takes [tex]\frac {28} {15}[/tex] hours more than Dwight to walk the road.

Answer:

Mike takes[tex]\frac {28} {15}[/tex]hours longer than Dwight to walk the road.