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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?

User FiReTiTi
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1 Answer

5 votes

For this case we convert the mixed numbers to fractions:

Dwight:
1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {4} {3} = 1.33

Mike:
3 \frac {1} {5} = \frac {5 * 3 + 1} {5} = \frac {16} {5} = 3.2

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:


\frac {16} {5} - \frac {4} {3} = \frac {48-20} {15} = \frac {28} {15}

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

Answer:

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

User Alex Wang
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