Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey Sasser. Carletta can make one mother board in 12 hours while it takes Johnathan 16 hours to make one mother board. Dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. What will be the time, in hours, that Carletta and Johnathan can build a mother board when working together? (Round your answer to the nearest hour.)

Accepted Solution

The overall rate can be calculate using the formula: 1/x + 1/y = 1/z where x and y is the rate of each person while z is the overall time they can do the work. Therefore: 1/12 + 1/16 = 1/z z = 6.86 hour Rounding off to the nearest hour: z = 7 hours   They can finish when working together in 7 hours.