Two persons K and L can complete a piece of work in 30 days and 45 days respecti

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Question
Two persons K and L can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days ?
Options
A. 1/6
B. 1/3
C. 2/3
D. 1/18

Correct Answer

1/6

Explanation

K's one day's work = 1/30
L's one day's work = 1/45
(K + L)'s one day's work = 1/30 + 1/45 = 1/18

The part of the work completed in 3 days = 3 (1/18) = 1/6.

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Time and Work problems

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1. A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?
Options
A. 8 hrs
B. 12 hrs
C. 6 hrs
D. 4 hrs

2. Sixty men can stitch 150 shirts in 30 days working 8 hours a day. In how many days can 35 men stitch 200 shirts working 6 hours a day ?
Options
A. 87.5
B. 89
C. 91.5
D. 93.5

3. A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?
Options
A. 10 days
B. 14 days
C. 11 days
D. 9 days

4. A work which could be finished in 11 days was finished 4 days earlier after 4 more men joined. The number of men employed was ?
Options
A. 7
B. 8
C. 9
D. 10

5. A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?
Options
A. 3 hrs
B. 6 hrs
C. 7 hrs
D. 5 hrs

7. Ram and Shyam undertook a work for Rs 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they worktogether, then what will be the difference (in Rs.) in the amount they receive?
Options
A. 1800
B. 2400
C. 1600
D. 2200

8. Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?
Options
A. 1260
B. 700
C. 900
D. 870

9. 10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?
Options
A. 4 : 6 : 3
B. 4 : 5 : 3
C. 2 : 4 : 3
D. 4 : 8 : 3

10. B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?
Options
A. 30
B. 15
C. 20
D. 10

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