It takes Jeremy 6 hours to paint a room. If it takes 4 hours for Jeremy and Marcus to paint the room together, how long does it take Marcus if he paints the room alone?

A) 5 hours

B) 8 hours

C) 10 hours

D) 12 hours

E) 14 hours

Question

Mathematics

Ximena Hopkins

6 January, 23:13

It takes Jeremy 6 hours to paint a room. If it takes 4 hours for Jeremy and Marcus to paint the room together, how long does it take Marcus if he paints the room alone?

A) 5 hours

B) 8 hours

C) 10 hours

D) 12 hours

E) 14 hours

+3

Answers (1)

Know the Answer?

Cara Stark · Answer 1

12 D. Is the answer

Step-by-step explanation:

The equation we will use is

1

6

+

1

x

=

1

4

. Solve the equation by multiplying each term by the LCM of the denominator, 12x. The equation is now 2x + 12 = 3x. We solve and find x = 12. It will Marcus 12 hours to paint the room alone.

It takes Jeremy 6 hours to paint a room. If it takes 4 hours for Jeremy and Marcus to paint the room together, how long does it take Marcus if he paints the room alone?A) 5 hoursB) 8 hoursC) 10 hoursD) 12 hoursE) 14 hours

It takes Jeremy 6 hours to paint a room. If it takes 4 hours for Jeremy and Marcus to paint the room together, how long does it take Marcus if he paints the room alone?

A) 5 hours

B) 8 hours

C) 10 hours

D) 12 hours

E) 14 hours