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famouzgal
14.07.2019 •
Mathematics
Lisa can make a costume twice as fast as justin can. if they both work together, they can make it in 8 hours. how long will it take justin to make the costume if he works alone?
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Ответ:
Hi,
Concept: This is work & time related problem which can be solved in their inverse proportions.
Let Lisa can do a work in x hours.
Lisa's one hour work = 1 / x
According to the problem, Justin can do the same work in 2x hours.
Justin's one hour work = 1 / (2x)
Now, we shall find both 1 hour work just by adding their 1 hour's work.
Both 1 hour's work = (1 /x) + [1 / (2x)] = 3 / (2x)
Full works time = (2x /3) hours.
Again, according to the problem,
2x / 3 = 8
or, x= 12 hours.
Hence Justin will take 2x = 24 hours to complete work as alone.
Ответ:
-3.5
Step-by-step explanation: