Question : A, B, and C working separately can do a piece of work in 11 days, 20 days, and 55 days respectively. In how many days, the work will be completed if A is assisted by B and C on alternate days?
Option 1: 2 days
Option 2: 6 days
Option 3: 4 days
Option 4: 8 days
Correct Answer: 8 days
Solution : Given: A, B, and C can do a piece of work in 11 days, 20 days, and 55 days respectively. Total work = LCM of (11, 20, 55) = 220 units Efficiency of A =$\frac{220}{11}$ = 20 units Efficiency of B =$\frac{220}{20}$ = 11 units Efficiency of C =$\frac{220}{55}$ = 4 units 1st day of work (A and B) = (20 + 11) = 31 units 2nd day of work (A and C) = (20 + 4) = 24 units Total work done after 2 days = (31 + 24) = 55 units Total time taken =$\frac{220}{55}$ = 4 × 2 = 8 days Hence, the correct answer is 8 days.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : A, B and C can do a piece of work in 30 days, 45 days and 90 days, respectively. A starts the work and he is assisted by B and C together on every third day. In how many days will the work be completed?
Option 1: 23
Option 2: 24
Option 3: 30
Option 4: $22 \frac{1}{2}$
Question : A, B and C can do a piece of work in 20 days, 30 days and 60 days respectively. If A works daily and on every third day B and C also work with A, then in how many days, will the work be completed?
Option 1: 21
Option 2: 18
Option 3: 12
Option 4: 15
Question : A can do $\frac{2}{5}$ of a work in 6 days and B can do $\frac{2}{3}$ of the same work in 12 days. A and B worked together for 6 days. C alone completed the remaining work in 8 days. A and C, working together, will complete the same work in:
Option 1: 9 days
Option 2: 12 days
Option 3: 10 days
Question : Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?
Option 1: $8 \frac{1}{2}$
Option 2: $9 \frac{1}{2}$
Option 3: $9 \frac{2}{3}$
Option 4: $9 \frac{1}{3}$
Question : A can do work in 12 days and B in 20 days. If they together work on it for 5 days and the remaining work is completed by C in 3 days, then in how many days can C do the same work alone?
Option 1: 10 days
Option 2: 9 days
Option 3: 12 days
Option 4: 15 days
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile