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A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days. In how many days will A alone finish the job ?
A. 45
B. 48
C. 34(2/7)
D. 44(1/A)+(1/B) = (1/20) (1/B)+(1/C) = (1/30) (1/A)+(1/C) = (1/40) Solving the three equations,
A=48Bilal can do a work in 15 days and Jalal in 12 days. If they work on it together for 4 days, the fraction of work that is left is ?
A. 4/7
B. 1/4
C. 3/5
D. 2/5Part of work completed by Bilal in a day = 1/15 Part of work completed by Jalal in a day = 1/12 Part of work completed by them in a day = (1/15)+(1/12) = 3/20 Part of work completed by them in 4 days = (3/20)*4 = 3/5 Fraction of work left
= 1-(3/5)
= 2/5A and B can do a work in 8 days, 13, and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in ?
A. 12 days
B. 8 days
C. 4 days
D. 6 days(A + B + C)’s 1 day’s work = 1/6; (A + B)’s 1 day’s work = 1/8 (B + C)’s 1 day’s work = 1/12 (A + C)’s 1 day’s work = ( 2 X 1/6 ) – ( 1/8 + 1/12 ) = ( 1/3 – 5/24 ) = 3/24 = 1/8 So, A and C together will do the woirk in 8 days.
A can do a certain work-in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in ?
A. 25 days
B. 30 days
C. 15 days
D. 20 days(A + B)’s 1 day’s work = 1/10; C’s 1 day’s work = 1/50 (A + B + C)’s 1 day’s work = 1/10 + 1/50 = 6/50 = 3/25 Also, A’s 1 day’s work = (B + C)’s 1 day’s work
From (i) and (ii), we get : 2 x (A’s 1 day’s work) = 3/25 As 1 day’s work = 3/50 B’s 1 day’s work = 1/10 – 3/50 = 2/50 = 1/25 So, B alone could do the work in 25 days.A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days. In what time can A alone do it?
A. 120 days
B. 150 days
C. 80 days
D. 100 daysTwenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
A. 1 : 3
B. 5 : 3
C. 3 : 4
D. 4 : 3X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
A. 15 days
B. 20 days
C. 10 days
D. 6 daysA and B together can complete a work in 1.2 days,. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
A. 22 days
B. 19 days
C. 10 days
D. 15 daysA, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every Third day?
A. 16 days
B. 18 days
C. 12 days
D. 15 daysB can work 3 times faster than A. They work together on a task and complete it in a day. How long does it take for B alone to complete the task ?
A. 3 days
B. 4 days
C. 32 hours
D. 48 hoursPart of task completed by A in a day = 1/x Part of task completed by B in a day = 3/x (B is thrice as efficient as A) (1/x)+(3/x) = 1 4/x = 1 x = 4 B completes 3/4th of the task in a day. He takes 4/3 days to complete the entire task. 4/3 days = (4/3*24) hours = 32 hours