A and B together finish a wor in 20 days.They worked together for 15 days and th

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Question
A and B together finish a wor in 20 days.They worked together for 15 days and then B left. Afer another 10 days,A finished the remaining work. In how many days A alone can finish the job?
Options
A. 30
B. 40
C. 50
D. 60

Correct Answer

40

Explanation

(A+B)'s 15 days work = $(\frac{1}{20} � 15) = \frac{3}{4}$

Remaining work = 1/4

Now, 1/4 work is done by A in 10 days.

Whole work will be done by A in (10 x 4) = 40 days.

Time and Work problems

Search Results

1. S, T and U together can complete a work in 30 days. If the ratio of efficiency of S, T and U is 20 : 15 : 12 respectively, then in how many days U alone can complete the same work?
Options
A. 195/2
B. 235/2
C. 225/2
D. 215/2

2. P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together ?
Options
A. 5 (2/3)
B. 6 (3/4 )
C. 4 (1/2)
D. 3

3. If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ?
Options
A. 101 men
B. 112 men
C. 102 men
D. 120 men

4. 45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ?
Options
A. 36
B. 61
C. 48
D. 54

5. If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ?
Options
A. 1:2
B. 1:3
C. 3:1
D. 2:1

6. Ten women can do a work in six days. Six men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Options
A. 1:2
B. 2:1
C. 2:3
D. 3:2

7. A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?
Options
A. 4/3 days
B. 2 days
C. 3/2 days
D. 4 days

8. A can write 32 pages in 6 hours and B can write 40 pages in 5 hours. If they write together, in how many hours they can write 110 pages ?
Options
A. 7 hrs
B. 6 hrs 10 min
C. 5 hrs 25min
D. 8 hrs 15 min

9. A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days ?
Options
A. 51/24
B. 87/5
C. 57/12
D. 60/11

10. 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

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