Time and work Practice Question and Answer

Q:

Bobby and Billy can complete a job in 28 days and 20 days, respectively. They work together for 5 days, after which Billy leaves the job. In how many days did Bobby alone complete the rest of the job?

1035 0

  • 1
    15 days
    Correct
    Wrong
  • 2
    20 days
    Correct
    Wrong
  • 3
    12 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 4. "16 days"

Q:

A can do a piece of work in 6 days, B in 10 days and C in 15 days. They jointly complete the work and earn Rs.300. The sum of their wages for 2 days is                                              

1031 0

  • 1
    Rs.180
    Correct
    Wrong
  • 2
    Rs.120
    Correct
    Wrong
  • 3
    Rs.160
    Correct
    Wrong
  • 4
    Rs.200
    Correct
    Wrong
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Answer : 4. "Rs.200 "

Q:

A certain number of men can complete a work in 17 days working 8 hour a day. If the number of people is decreased to 60%. Then, find in how many hrs in a day should the remaining people work to complete the work in 51/2 days?

1030 0

  • 1
    20
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 1. "20 "

Q:

A does 2/5 of a work in 9 days. Then B joined him and they together completed the remaining work in 6 days. B alone can finish the whole work in

1029 0

  • 1
    12/13 days
    Correct
    Wrong
  • 2
    2/11 days
    Correct
    Wrong
  • 3
    10 days
    Correct
    Wrong
  • 4
    18 days
    Correct
    Wrong
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Answer : 4. "18 days"

Q:

A 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:

1022 0

  • 1
    2 days
    Correct
    Wrong
  • 2
    $$ {1{1\over 2}}$$ days
    Correct
    Wrong
  • 3
    3 days
    Correct
    Wrong
  • 4
    5 days
    Correct
    Wrong
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Answer : 2. "$$ {1{1\over 2}}$$ days"

Q:

At a construction site, 200 workers were working on a building which is scheduled to end within 250 days. After 30 days, 20 workers leave the job. How many more days will it take to complete the work? 

1022 0

  • 1
    190 days
    Correct
    Wrong
  • 2
    186 days
    Correct
    Wrong
  • 3
    245 days
    Correct
    Wrong
  • 4
    198 days
    Correct
    Wrong
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Answer : 3. "245 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?

1022 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 and B together can complete a particular task in 4 days. If A alone can complete the same task in 6 days, how many days will B take to complete the task if he works alone? 

1019 0

  • 1
    8
    Correct
    Wrong
  • 2
    17
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 4. "12"

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