A is 30% more efficient than B . How much time will they, working together , take to-complete a job which A alone could have done in 23 days ?

A 11 days
B 13 days
C 21 days
D None of these

Correct Answer: 13 days

Ratio of times taken by A and B = 100:130 = 10:13Suppose B takes x days to do the work.Then, 10:13 :: 23:x∴ x = 299/10A's 1 day's work = 1/23B's 1 day's work = 10/299(A+B)'s 1 day's work = (1/23 + 10/299) = 1/13Therefore, A and B together can complete the work in 13 days.
Bissoy MCQ
#গণিত #Bangladesh Bank #Bangladesh Bank - Assistant Director - 2016

Related Questions

Two men and women are entrusted with a task. The second man needs three hours more to cope up with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as second man and the woman working together. The first man working alone, would spend eight hours less than the double period of the time second man would spend working alone. How much time would the two men and the women need to complete the task if they all asked together?
A 1 hour
B 2 hours
C 3 hours
D 4 hours
E 5 hours
Tow workers A and B are engaged to do a work . A working alone takes 8 hours more to complete the job than if both worked together . If B worked along, he would need 4.5 hours more to complete the job than they both working together . What time would they take to do the work together ?
A 4 hours
B 5 hours
C 6 hours
D 7 hours
A is 30% more efficient than B. How much time will they, working together , take to complete a job which a alone could have done in 23 days?
A 13 days
B 15 days
C 10 days
D None of these
A is 30% more efficient than E How much time will they , working together , take to complete a job which A alone could have done in 23 days?
A 13 days
B 15 days
C 10 days
D None of these
A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
A 11 days
B 13 days
C $$20\frac{3}{{17}}$$  days
D None of these
A and B together do a job in 12 days and A could do the job in 20 days if he worked alone. How many days would B take to do the job if he worked alone?
A 30
B 25
C 24
D 15
A and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?
A 60
B 30
C 45
D 40
A, B and C can together do a job in 9 days. C alone can do the job in 36 days. In how many days can A and B do 50% of the job working together?
A 6
B 12
C 9
D 15
Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?
A 60
B 90
C 72
D 120
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient . A worker is hired for six days.He is paid Tk.2 more for each day of work than he was paid for the preceding day of work.How much was he paid for the day of work?
A A
B B
C C
D D

Next steps