Three people can wash clothes in 1/3 hrs, 1/4 hrs and 1/4 hrs. If they started together at 8:30 am, at what time will they finish this work together?

*Please anyone to help me out this question*

2 answers

20 min , 15 min , 15 min

in the combined time (t) , they each do some fraction of the job
... the fractions sum to one (the whole job)

t/20 + t/15 + t/15 = 1 ... LCD is 60

3t/60 + 4t/60 + 4t/60 = 1

3t + 4t + 4t = 60
Since we are going to need minutes anyway ....
rates are: wash/20, wash/15, and wash/15
combined rates = 11wash/60

time to finish the wash with all three washing
= wash/(11wash/60)
= 60/11 minutes
= appr 5.45 minutes

make use of my answer in your concluding statement.
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