A alone can do 1/4th of the work in 4 days. B alone can do 2/3rd of the work in 8 days. If all the three work together along with C, they can complete it in 6 days. So what part of the work will be completed by C in 2 days?radio_button_unchecked1/12radio_button_unchecked1/24radio_button_unchecked1/6radio_button_unchecked2/18
Question
A alone can do 1/4th of the work in 4 days. B alone can do 2/3rd of the work in 8 days. If all the three work together along with C, they can complete it in 6 days. So what part of the work will be completed by C in 2 days?radio_button_unchecked1/12radio_button_unchecked1/24radio_button_unchecked1/6radio_button_unchecked2/18
Solution
First, let's find out how much work A and B can do in one day.
A can do 1/4 of the work in 4 days, so in one day, A can do (1/4) / 4 = 1/16 of the work.
B can do 2/3 of the work in 8 days, so in one day, B can do (2/3) / 8 = 1/12 of the work.
Together, A and B can do 1/16 + 1/12 = 7/96 of the work in one day.
If A, B, and C together can do the work in 6 days, then they can do 1/6 of the work in one day.
So, the part of the work that C can do in one day is 1/6 - 7/96 = 1/8.
Therefore, in 2 days, C can do 2 * 1/8 = 1/4 of the work.
However, this option is not available in the choices given. There might be a mistake in the question or the options provided.
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