A recruiter travels 1,100 miles during a 40-hour workweek. If she spends \(\frac{\mathrm{2} }{\mathrm{5} }\) of her time traveling, how many hours does she spend traveling?
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Detailed Explanation
Don’t let the number of miles traveled confuse you — you don’t use them to solve the problem.
\(\frac{\mathrm{2} }{\mathrm{5} }\) of a 40-hour workweek is \(\frac{\mathrm{2} }{\mathrm{5} }\) × \(\frac{\mathrm{40} }{\mathrm{1} }\) = \(\frac{\mathrm{80} }{\mathrm{5} }\).
Reduce the fraction: 80 ÷ 5 = 16 hours per week spent traveling.
\(\frac{\mathrm{2} }{\mathrm{5} }\) of a 40-hour workweek is \(\frac{\mathrm{2} }{\mathrm{5} }\) × \(\frac{\mathrm{40} }{\mathrm{1} }\) = \(\frac{\mathrm{80} }{\mathrm{5} }\).
Reduce the fraction: 80 ÷ 5 = 16 hours per week spent traveling.
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