Time and Work Questions Practice Question and Answer

Q: 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 ? 1299 0

  • 1
    80 days
    Correct
    Wrong
  • 2
    100 days
    Correct
    Wrong
  • 3
    60 days
    Correct
    Wrong
  • 4
    150 days
    Correct
    Wrong
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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:

464 0

  • 1
    88 days
    Correct
    Wrong
  • 2
    110 days
    Correct
    Wrong
  • 3
    84 days
    Correct
    Wrong
  • 4
    90 days
    Correct
    Wrong
  • 5
    40 days
    Correct
    Wrong
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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?

457 0

  • 1
    60 days
    Correct
    Wrong
  • 2
    72 days
    Correct
    Wrong
  • 3
    54 days
    Correct
    Wrong
  • 4
    64 days
    Correct
    Wrong
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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?

518 0

  • 1
    Rs. 320, Rs. 240 and Rs. 240
    Correct
    Wrong
  • 2
    Rs. 640, Rs. 280 and Rs. 260
    Correct
    Wrong
  • 3
    Rs. 320, Rs. 420 and Rs. 360
    Correct
    Wrong
  • 4
    Rs. 360, Rs. 420 and Rs. 240
    Correct
    Wrong
  • 5
    Rs. 320, Rs. 240 and Rs. 720
    Correct
    Wrong
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Answer : 1. "Rs. 320, Rs. 240 and Rs. 240"
Explanation :

Let's break down the problem step by step:

  1. A can complete the work in 15 days, so his daily work rate is 1/15 of the work per day.
  2. B can complete the work in 20 days, so his daily work rate is 1/20 of the work per day.
  3. 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.
  4. 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:

  1. 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.

  2. 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.

  3. 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.

605 0

  • 1
    50/7days
    Correct
    Wrong
  • 2
    60/7 days
    Correct
    Wrong
  • 3
    20/3 days
    Correct
    Wrong
  • 4
    40/7 days
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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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?

424 0

  • 1
    8
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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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?

608 0

  • 1
    2
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
  • 5
    6
    Correct
    Wrong
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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?

427 0

  • 1
    8 days
    Correct
    Wrong
  • 2
    15 days
    Correct
    Wrong
  • 3
    9 days
    Correct
    Wrong
  • 4
    12 days
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 2. "15 days"

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