It takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x, the number of hours it would take Franklin and Scott to make the patio together?

Question

Mathematics

Lukas Bray

28 October, 02:08

It takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x, the number of hours it would take Franklin and Scott to make the patio together?

+2

Answers (2)

Know the Answer?

Nikolas Hart · Answer 1

(200/14+200/10) * x=200

x=200 / (200/14+20)

this is the equation, you could use calculator for the rest

Giovanna Parker · Answer 2

Let

x = time it takes for Franklin to do the job alone

y = time it takes for Scott to do the job alone

z = time it takes for them to get the job done when they work together.

1/x + 1/y = 1/z

1/14 + 1/10 = 1/z

z = 35/6 or 5.83 hours