c. A can complete a piece of work in 15 days and B can do the same
in 10 days. They worked together for 2 days and then Bleft. In
how many days will A complete the remaining work?
Answers
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Answer:
A & B work together for 2 days.
It would take 8 more days had they continued to work together.
But, B only continues working for 12 more days. Splitting 12= 8 + 4, it is clear that B completes in 4 days that portion of work which A completes in 8 days.
=> Efficiency of A:B = 1:2
=> Time taken A:B = 2:1
Now 2x^2/3x = 10
=> x = 15
=> A alone can complete work in 2x or 30 days.
Step-by-step explanation:
A works for 2 days while B works for 2 + 12 days
In two days A & B together complete 2/10 = 20% work.
Remaining 80% work done by B in 12 days.
=> B alone completes full work in 12/80 x 100 = 15 days.
:-)
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