Select the correct answerA can finish one-third of a work in 5 days, B can finish 2/5th of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days; The remaining work will be finished by B alone in?Options3 days5 days2.5 days1.5 days
Question
Select the correct answerA can finish one-third of a work in 5 days, B can finish 2/5th of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days; The remaining work will be finished by B alone in?Options3 days5 days2.5 days1.5 days
Solution
Sure, let's solve this step by step:
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First, we need to find out how much work each person can do in one day.
A can finish 1/3 of the work in 5 days, so in one day, A can do 1/3 ÷ 5 = 1/15 of the work.
B can finish 2/5 of the work in 10 days, so in one day, B can do 2/5 ÷ 10 = 1/25 of the work.
C can finish 75% (or 3/4) of the work in 15 days, so in one day, C can do 3/4 ÷ 15 = 1/20 of the work.
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Now, let's find out how much work they can do together in one day.
A + B + C can do 1/15 + 1/25 + 1/20 = 0.15 of the work in one day.
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If they work together for 6 days, they can do 6 * 0.15 = 0.9 (or 90%) of the work.
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This means there is 1 - 0.9 = 0.1 (or 10%) of the work left.
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Finally, we need to find out how long it will take B to finish the remaining work alone.
Since B can do 1/25 of the work in one day, it will take B 0.1 ÷ 1/25 = 2.5 days to finish the remaining work.
So, the correct answer is 2.5 days.
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