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Jun can clean a room in 4 hours. Ana can clean the same room in 3 hours. Working together, how long will it take them to clean the room?

Sagot :

Let x be the time it take them to clean the room together:

Working together Equation:

  1              1
---- (x)   + ----- (x) = 1
  4              3

LCD: 12

Multiply each term by 12:

(12) [ x/4  +  x/3 = 1 ] (12)

3x + 4x = 12

7x/7 =12/7

x = 1 ⁵/₇  hours

ANSWER:  It will take 1 ⁵ /₇  hours for Jun and Ana working together to clean the same room.

Please note that when more people work on the same work/job, the faster it will be completed.