Problema Solution

Moe,Larry and ed can paint a gym in 5,6, and 10 hours working individually. if the three men work together, how long will it take to paint the same gym? Round to the nearest hour.

Answer provided by our tutors

Let 'x' be the time they need to paint the gym together then


In x hours each of them will paint x/5, x/6 and x/ 10 respectively and the job will be done:


x/5 + x/6 + x/10 = 1


by solving we find


x = 15/7 = 2 hours rounded to the nearest hour


They will need about 2 hours to finish the job.