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[2 Mark Question Answer]

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11 questions · timed · auto-graded

Question 12 Marks
A and B can do a piece of work in 30 days; B and C in 24 days; C and A in 40 days. How long will it take them to do the work together?
In what time can each finish it, working alone?
Answer
Together $\rightarrow 20$ days, $A \rightarrow 120$ days, $B \rightarrow 40$ days, $C \rightarrow 60$ days
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Question 22 Marks
A can mow a field in 9 days; B can mow it in 12 days while C can mow it in 8 days. They all together mowed the field and received ₹ 1610 for it. How will the money be shared by them?
Answer
A's share =₹ 560, B's share =₹ 420, C's share =₹ 630
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Question 32 Marks
A can dig a trench in 6 days while B can dig it in 8 days. They dug the trench working together and received ₹ 1120 for it. Find the share of each in it.
Answer
A's share $=₹ 640$, B's share $=₹ 480$
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Question 42 Marks
Two pipes A and B can separately fill a cistern in 20 minutes and 30 minutes respectively, while a third pipe C can empty the full cistern in 15 minutes. If all the pipes are opened together, in what time the empty cistern is filled?
Answer
1 hour
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Question 52 Marks
One tap can fill a cistern in 3 hours and the waste pipe can empty the full tank in 5 hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together?
Answer
$7 \frac{1}{2}$ hours
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Question 62 Marks
Two pipes A and B can separately fill a tank in 36 minutes and 45 minutes respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Answer
20 minutes
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Question 72 Marks
A is twice as good a workman as B and together they finish a piece of work in 14 days. In how many days can A alone do it?
Answer
21 days
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Question 82 Marks
A can do a certain job in 12 days. $B$ is $60 \%$ more efficient than $A$. Find the number of days taken by B to finish the job.
Answer
$7 \frac{1}{2}$ days
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Question 92 Marks
A is thrice as good a workman as B and B is twice as good a workman as C. All the three took up a job and received ₹ 1800 as remuneration. Find the share of each.
Answer
A's share $=₹ 1200$, B's share $=₹ 400$, C's share $=₹ 200$
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Question 102 Marks
A can do a piece of work in 14 days, while B can do in 21 days. They begin together. But, 3 days before the completion of the work, A leaves off. Find the total number of days taken to complete the work.
Answer
$10 \frac{1}{5}$ days
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Question 112 Marks
A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. In how many days was the whole work completed?
Answer
$16 \frac{2}{3}$ days
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[2 Mark Question Answer] - MATHS STD 8 Questions - Vidyadip