Barry can do a certain job in 2 hours, whereas it takes Sanchez 3 hours to do the same job. How long would it take them to do the job working together?
A) $1 \frac { 5 } { 6 } \text { hours }$
B) $1 \frac { 1 } { 5 } \text { hours }$
C) $\frac { 5 } { 6 } \text { hours }$

Question

Quizplus · Accepted Answer

Let's say the job requires painting a room. Barry can paint the room in 2 hours, which means he can paint 1/2 of the room per hour. Sanchez can paint the same room in 3 hours, which means he can paint 1/3 of the room per hour.
Working together, Barry and Sanchez can paint (1/2 + 1/3) = 5/6 of the room per hour. Therefore, they will complete the entire job in 6/5 hours or 1 hour and 12 minutes, which is 1 1/5 hours or 1.2 hours. The closest option is B.

Barry Can Do a Certain Job in 2 Hours, Whereas 156 hours 1 \frac { 5 } { 6 } \text { hours }165​ hours

Barry Can Do a Certain Job in 2 Hours, Whereas $1 \frac { 5 } { 6 } \text { hours }$