Question

Genna can build a cabinet in 4 hours. Claude can build a cabinet in only 3 hours.

Which of the following can be used to determine the amount of time it would take for Genna and Claude to build a cabinet together?
1 over 4 plus 1 over x equals 1 over 3
1 over 4 plus 1 over 3 equals 1 over x
1 over x plus 1 over 3 equals 1 over 4
1 over 3 plus 1 over 4 equals x over 7

Answer 1

Just to make the answer choices more clearer
\(A.~\frac14 + \frac1x = \frac13\\
B.~\frac14 + \frac13 = \frac1x\\
C.~\frac1x + \frac1 3 = \frac1 4\\
D.~\frac1 3 + \frac1 4 = \frac x 7\)

Answer 2

Use this generalized example to help you solve it

If I can do something in x hours and you can do it by yourself in y hours, then if we work together we can do it in t, or total, hours.

1/x + 1/y = 1/t