Frank can type a report in 6 hours. James takes 8 hours to type it. How long will it take the two of them typing together?
A) 24 hours

B) $\frac{1}{14}$ hours

C) $3 \frac{3}{7}$ hours

D) $\frac{1}{48}$ hours

Question

Frank can type a report in 6 hours. James takes 8 hours to type it. How long will it take the two of them typing together?
A) 24 hours

B) $\frac{1}{14}$ hours

C) $3 \frac{3}{7}$ hours

D) $\frac{1}{48}$ hours

Quizplus · Accepted Answer

Frank's rate is 1/6 of the report per hour, and James's rate is 1/8 of the report per hour. Together, they type (1/6 + 1/8) = 7/24 of the report per hour. To find the time it takes for them to complete the report together, take the reciprocal of 7/24, which is 24/7 hours, or $3 \frac{3}{7}$ hours.

Frank Can Type a Report in 6 Hours 114\frac{1}{14}141​ Hours C)

Frank Can Type a Report in 6 Hours $\frac{1}{14}$ Hours

C)