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Time & Work - Past Year Questions

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Q1:

Amisha can complete a particular task in twenty days. After working for four days she fell sick for four days and resumed the work on the ninth day but with half of her original work rate. She completed the task in another twelve days with the help of a co-worker who joined her from the ninth day. The number of days required for the co-worker to complete the task alone would be
24
Correct Answer
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Q2:

There are two taps, T1 and T2, at the bottom of a water tank, either or both of which may be opened to empty the water tank, each at a constant rate. If T1 is opened keeping T2 closed, the water tank (initially full) becomes empty in half an hour. If both T1 and T2 are kept open, the water tank (initially full) becomes empty in 20 minutes. Then, the time (in minutes) it takes for the water tank (initially full) to become empty if T2 is opened while T1 is closed is
60
Correct Answer
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Q3:

Three workers working together need 1 hour to construct a wall. The first worker, working alone, can construct the wall twice as fast as the third worker, and can complete the task an hour sooner than the second worker. Then, the average time in hours taken by the three workers, when working alone, to construct the wall is
Answer options
Option: 1
Correct Answer
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Q4:

A is 40%40 \% less efficient than BB who can do the same work in 20%20 \% less time than CC. If AA and B together can complete 80%80 \% work in 12 days, then in how many days 60%60 \% work can be completed by B\mathrm{B} and C\mathrm{C} together ?
Answer options
Option: 3
Correct Answer
Explanation →

Q5:

Given below are two statements:

Statement (I): \newline 4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32.

Statement (II):\newline The ratio of time taken by A and C to do a work is 1:2 respectively. B is 166 (2/3)% more efficient than C. Time taken by A to complete 6% of work is 6 days.

Then, the time taken by B and C together to complete the whole work is 54 (6/11) days.

In light of the above statements, choose the most appropriate answer from the options given below.

Answer options
Option: 4
Correct Answer
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Q6:

If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?
Answer options
Option: 4
Correct Answer
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Q7:

4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women finish it?
Answer options
Option: 4
Correct Answer
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Q8:

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
Answer options
Option: 2
Correct Answer
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Q9:

Two pipes P and Q can fill a tank in 2020 hrs and 2525 hrs respectively while a third pipe R can empty the tank in 3030 hrs. If all the pipes are opened together for 1010 hrs and then pipe R is closed, then in what time the tank can be filled?
Answer options
Option: 2
Correct Answer
Explanation →

Q10:

Work done by P in one day is double the work done by Q in one day and work done by Q in one day is thrice the work done by R in one day. If P, Q, and R together can complete the work in 30 days, then in how many days P alone can do the work?
Answer options
Option: 4
Correct Answer
Explanation →

Time & Work - Past Year Questions (Free PDF Download)

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