- A60
- B30
- C50
- D90
Time and Work - Quiz
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Quiz Analytics
Time and Work - Quiz
Guest User
Time Taken: Questions: Answered: Not Answered:
Correct Answer:
Wrong Answer:
Percentage: %
- A. 60
- B. 30
- C. 50
- D. 90
Remarks:
Explanation:
According to the calculation, the ratio of Kim's wages to David's wages is 2:3,
which means that for every 2 units of wages that Kim receives,
David receives 3 units of wages.
The calculation also shows that the ratio of Kim's work rate to David's work rate is 2:3,
with Kim able to complete 1/3 of the work in a day and David able to complete 1/2 of the work in a day.
Using this information,
we can determine that Kim's share of the total payment of Rs. 150 is Rs. 60,
which is equal to 2/5 of the total payment
- A. 15
- B. 14
- C. 13
- D. 12
Remarks:
Explanation:
The work rate of A is 1/20 of the task per day,
while the work rate of B and C together is 1/10 of the task per day.
When A is assisted by B and C every third day,
they can complete 1/5 of the task in 3 days.
Therefore, it will take A a total of 15 days to complete the task on their own.
- A. 15 days
- B. 20 days
- C. 25 days
- D. 30 days
Remarks:
Explanation:
If the work rate of A and B together is 1/10 of the task per day,
the work rate of C is 1/50 of the task per day,
and the combined work rate of A, B, and C is 1/6 of the task per day,
then the work rate of A is equal to the combined work rate of B and C.
Therefore, the work rate of B is (1/6 - 1/50) of the task per day,
or 1/25 of the task per day.
This means that B can complete the task in 25 days on their own
- A. 40
- B. 30
- C. 35
- D. 25
Remarks:
Explanation:
If the work rate of one man is represented by 'x' and the work rate of one woman is represented by 'y',
the work rates of 4 men and 6 women can be represented as
4x + 6y = 1/8.
Similarly,
the work rates of 3 men and 7 women can be represented as
3x + 7y = 1/10.
Solving these equations,
we find that the work rate of one woman is 1/400 of the task per day.
Therefore, 10 women can complete the task in 40 days
- A. 5
- B. 7
- C. 9
- D. 11
Remarks:
Explanation:
The work rate of one woman is 1/70 of the task per day,
and the work rate of one child is 1/140 of the task per day.
The combined work rate of 5 women and 10 children is (5/70 + 10/140) of the task per day,
which is equal to 1/14 of the task per day.
Therefore, it will take 5 women and 10 children a total of 7 days to complete the task
- A. 20
- B. 16
- C. 28
- D. 18
Remarks:
Explanation:
If the ratio of the time it takes Sakshi and Tanya to complete the same task is 5:4,
and it takes Sakshi 20 days to complete the task,
then it will take Tanya 16 days to complete the task.
This is because Tanya is 25% more efficient than Sakshi,
and the ratio of their work rates can be expressed as 5:4,
with Tanya's work rate being 4/5 of Sakshi's work rate.
- A. 6
- B. 8
- C. 3
- D. 5
Remarks:
Explanation:
A and B together can complete the work in 4 days,
so the amount of work they complete in 1 day is (1/4) of the total work.
A alone can complete the work in 12 days, so the amount of work he completes in 1 day is (1/12) of the total work.
The amount of work B completes in 1 day is the total amount of work completed by A and B in 1 day minus the amount of work A completes in 1 day.
This is (1/4) - (1/12) = (1/6) of the total work.
Since B completes (1/6) of the total work in 1 day, it will take him 6 days to complete the entire work.
- A. 34
- B. 24
- C. 16
- D. 28
Remarks:
Explanation:
The work can be completed by A and B in 18 days, so the amount of work they complete in 1 day is (1/18) of the total work.
The work can be completed by B and C in 24 days, so the amount of work they complete in 1 day is (1/24) of the total work.
The work can be completed by A and C in 36 days, so the amount of work they complete in 1 day is (1/36) of the total work.
The amount of work A, B, and C complete in 1 day is the sum of the work completed by each pair in 1 day. This is (1/18) + (1/24) + (1/36) = 9/72 = 1/8 of the total work.
Since A, B, and C complete (1/16) of the total work in 1 day, it will take them 16 days to complete the entire work.
- A. 35
- B. 27
- C. 24
- D. 19
Remarks:
Explanation:
A is twice as good a workman as B, so the ratio of A's work to B's work is 2 : 1. A and B can finish the work in 18 days, so the amount of work they complete in 1 day is (1/18) of the total work. We can divide the amount of work they complete in 1 day in the ratio 2 : 1, with A completing 2/3 and B completing 1/3. Therefore, A's 1 day's work is (1/18) * (2/3) = 1/27 of the total work. Since A completes (1/27) of the total work in 1 day, it will take him 27 days to complete the entire work.
- A. 54
- B. 30
- C. 43
- D. 65
Remarks:
Explanation:
A can complete the work in 80 days, so the amount of work he completes in 1 day is (1/80) of the total work. A works on the job for 10 days, so he completes a total of (1/80) * 10 = 1/8 of the total work. The remaining work is 1 - 1/8 = 7/8 of the total work. B alone finishes the remaining work in 42 days, so the amount of work he completes in 1 day is (7/8) / 42 = 1/48 of the total work. When A and B work together, their combined 1 day's work is (1/80) + (1/48) = 8/240 = 1/30 of the total work. Since they complete (1/30) of the total work in 1 day, it will take them 30 days to complete the entire work.