Question

50 POINTS!!!!

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?

A)1 over 4 plus 1 over x equals 1 over 3
B)1 over 4 plus 1 over 3 equals 1 over x
C)1 over x plus 1 over 3 equals 1 over 4
D)1 over 3 plus 1 over 4 equals x over 7

Answer 1

b is the correct answer because of the correct equation.And none of the others would make sense

Answer 2

Answer: Option 'B' is correct.

Explanation:

since we have given that

Time taken to build a cabinet by Genna = 4 hours.

Time taken to build a cabinet by Claude = 3 hours

Now, time taken by both Genna and Claude to build a cabinet together is to be find.

Work done by Genna is given by

`(1)/(4)`

Work done by Claude is given by

`(1)/(3)`

According to question,

`(1)/(4)+(1)/(3)=(1)/(x)\\\\(3+4)/(12)=(1)/(x)\\\\(7)/(12)=(1)/(x)\\\\x=(12)/(7)\\\\x=1(5)/(7)\ hours`

Hence, Option 'B' is correct.