Answers

  • Brainly User
2015-12-22T09:29:50+08:00
Number of hours to finish the task if the friends worked together: x
Number of hours for Friend A to finish the task: 5
Number of hours for Friend B to finish the task:  2(5) = 10

Equation for Combined Work (task):
1/5 + 1/10 = 1/x

LCM (Least Common Multiple): 10x

Multiply each term by 10x, then simplify:
(10x)(1/5) + (10x)(1/10) = (10x)(1/x)
2x + x = 10
3x = 10
3x/3 = 10/3
x = 10/3   or  3 ¹/₃ hours

ANSWER: It would take 3 ¹/₃ hours for the two friends to finish the task of painting the wall of the same dimensions.


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