Time and Work Questions Practice Question and Answer
8Q: A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In how many days all three together can do the work ? 1288 05cf0f244c97a225730e3b25d
5cf0f244c97a225730e3b25d- 180 daysfalse
- 2100 daysfalse
- 360 daystrue
- 4150 daysfalse
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Answer : 3. " 60 days"
Q: A is as efficient as B and C together. Working together A and B can complete a work in 36 days and C alone can complete it in 60 days. A and C work together for 10 days. B alone will complete the remaining work in:
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64f84e4f6e0e55b91d9bfc19- 188 daysfalse
- 2110 daystrue
- 384 daysfalse
- 490 daysfalse
- 540 daysfalse
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Answer : 2. "110 days"
Q: A and B can do a work together in 18 days. A is three times as efficient as B. In how many days can B alone complete the work?
447 064ccdf41a919c8488e301a5c
64ccdf41a919c8488e301a5c- 160 daysfalse
- 272 daystrue
- 354 daysfalse
- 464 daysfalse
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Answer : 2. "72 days"
Explanation :
Let's denote the work rate of A as "A" and the work rate of B as "B." We know that A is three times as efficient as B, so we can write:
A = 3B
Now, we also know that A and B can do a work together in 18 days. The work rate of A and B combined is the sum of their individual work rates, which can be represented as:
A + B
Since they complete the work in 18 days together, we can write:
(A + B) = 1/18
Now, we want to find how long it would take B alone to complete the work. Let's denote that time as "x" days. The work rate of B alone would be:
B (work rate of B alone) = 1/x
Now, we have two equations:
A = 3B
(A + B) = 1/18
We can substitute the value of A from the first equation into the second equation:
(3B + B) = 1/18
Combine like terms:
4B = 1/18
Now, isolate B by dividing both sides by 4:
B = (1/18) / 4
B = 1/72
So, B's work rate is 1/72 of the work per day. To find how many days B alone can complete the work, take the reciprocal of B's work rate:
x (number of days for B alone) = 1 / (1/72)
x = 72
Therefore, it would take B alone 72 days to complete the work.
Q: A alone can do a piece of work in 15 days, while B alone can do it in 20 days. They work together for 6 days and the rest of the work is done by C in 6 days. If they get Rs 800 for the whole work, how should they divide the money?
506 064f1e9943be218b6cde52171
64f1e9943be218b6cde52171- 1Rs. 320, Rs. 240 and Rs. 240true
- 2Rs. 640, Rs. 280 and Rs. 260false
- 3Rs. 320, Rs. 420 and Rs. 360false
- 4Rs. 360, Rs. 420 and Rs. 240false
- 5Rs. 320, Rs. 240 and Rs. 720false
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Answer : 1. "Rs. 320, Rs. 240 and Rs. 240"
Explanation :
Let's break down the problem step by step:
- A can complete the work in 15 days, so his daily work rate is 1/15 of the work per day.
- B can complete the work in 20 days, so his daily work rate is 1/20 of the work per day.
- A and B work together for 6 days. In these 6 days, their combined work rate is (1/15 + 1/20) = (4/60 + 3/60) = 7/60 of the work per day.
- In 6 days, they complete (6 * 7/60) = 42/60 of the work, which simplifies to 7/10 of the work.
Now, let C complete the remaining 3/10 of the work in 6 days. We can calculate C's daily work rate:
C's daily work rate = Work done by C in 6 days / 6 C's daily work rate = (3/10) / 6 C's daily work rate = 1/20 of the work per day.
Now, let's calculate the total amount earned by each worker:
A's share: A worked for 6 days at a rate of 1/15 of the work per day, so he completed (6 * 1/15) = 2/5 of the work. A's share of the money is (2/5) * Rs 800 = Rs 320.
B's share: B worked for 6 days at a rate of 1/20 of the work per day, so he completed (6 * 1/20) = 3/10 of the work. B's share of the money is (3/10) * Rs 800 = Rs 240.
C's share: C worked for 6 days at a rate of 1/20 of the work per day, so he completed (6 * 1/20) = 3/10 of the work. C's share of the money is (3/10) * Rs 800 = Rs 240.
Now, to check if the total amount is correct, you can add up their individual shares:
Rs 320 (A) + Rs 240 (B) + Rs 240 (C) = Rs 800
So, they should divide the money as follows:
- A gets Rs 320.
- B gets Rs 240.
- C gets Rs 240.
Q: A, B and C can complete a work in 10, 20 and 30 days respectively. If D can destroy the same work in 15 days. Find the time taken by all of them to complete the whole work.
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64e761c4646d8ab6ebdccb02- 150/7daysfalse
- 260/7 daystrue
- 320/3 daysfalse
- 440/7 daysfalse
- 5None of thesefalse
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Answer : 2. "60/7 days"
Q: A and B together can do a piece of work in 12 days, A and C together can do the same work in 15 days. If B and C together can do the same work in 20 days, then in how many days A, B and C together can complete the same work?
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64e5e17cd928d8b7160dffc1- 18false
- 26false
- 310true
- 49false
- 5None of thesefalse
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Answer : 3. "10"
Q: P can do a task in 30 days, Q is 50% more efficient than P, R can do the same work in 10 days less than Q if R and Q start task together and after X days they left the task and P completed the remaining task in (X + 8) days. then find the value of X?
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64dcbde3d02c5c746bf5be90- 12false
- 24true
- 35false
- 48false
- 56false
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Answer : 2. "4"
Q: A alone can complete a work in 25 days and B alone can do the same work in 20 days. A started the work and after working 7 days B joined A to finish the remaining work. In how many days, the total work will be finished?
414 064dc81f6d4a4292bfff361a8
64dc81f6d4a4292bfff361a8- 18 daysfalse
- 215 daystrue
- 39 daysfalse
- 412 daysfalse
- 5None of thesefalse
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