Problem: Pedro can paint a house alone in 8 hours. Jose can paint the same house
alone in 10 hours. How long would it take them to paint the house if they
worked together?
alone in 10 hours. How long would it take them to paint the house if they
worked together?
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Answer:
It will take them 40/9 hours to paint the house if they worked together.
Step-by-step explanation:
formula:
1/t = 1/t1 + 1/t2
(t ia the total time, t1 is the time of the first person and t2 is the time of the secind person)
1/t = 1/8 + 1/10
find the LCM which is 40
40t = 40/8 + 40/10
40t = 5 + 4
40t = 9
divide both sides by 9t
(40t/9t) = (9/9t)
40/9 = t