Question

Ben can paint the kitchen by himself in 6 hours. Jerry can paint the kitchen by himself in 5 hours. If they work together, how long will it take them to paint the kitchen?

Answer 1

Ben can paint the kitchen in 6 hours and Jerry can paint the kitchen in 5 hours. When they work together, it will take them 30/11 hours to paint the kitchen.

Step-by-step explanation:

To find out how long it will take Ben and Jerry to paint the kitchen together, we can use the concept of work rate. Ben can paint the kitchen in 6 hours, so his work rate is 1 kitchen per 6 hours, or 1/6 kitchen per hour. Jerry can paint the kitchen in 5 hours, so his work rate is 1 kitchen per 5 hours, or 1/5 kitchen per hour. When they work together, their work rates are combined. To find the combined work rate, we add their individual work rates: 1/6 + 1/5 = 11/30 kitchen per hour. Therefore, it will take them 30/11 hours to paint the kitchen together.