A professional painter can paint a kitchen in 10 hours. His apprentice can paint the same kitchen in 14 hours. If they worked together, how long would it take for them to paint the kitchen?

Question

Quizplus · Accepted Answer

The professional painter's rate is 1/10 of the kitchen per hour, and the apprentice's rate is 1/14 of the kitchen per hour. Together, they paint at a rate of 1/10 + 1/14 = 7/35 of the kitchen per hour. To find the total time taken, divide 1 (the whole kitchen) by 7/35, which equals 5 hours and 5/7 of an hour, or $5 \frac { 5 } { 6 }$ hours.

A Professional Painter Can Paint a Kitchen in 10 Hours 723257 \frac { 23 } { 25 }72523​

A Professional Painter Can Paint a Kitchen in 10 Hours $7 \frac { 23 } { 25 }$