Question : A and B working together can do a piece of work in $4\frac{1}{2}$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $2\frac{1}{4}$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.
Option 1: 3 hours
Option 2: 2 hours
Option 3: 2.5 hours
Option 4: 3.25 hours
Correct Answer: 2 hours
Solution : Amount of work done by A and B in 1 hour = $\frac{2}{9}$ Amount of work done by B and C in 1 hour = $\frac{1}{3}$ Amount of work done by A and C in 1 hour = $\frac{4}{9}$ Adding all the equations, we have: ⇒ 2 × (A + B + C)'s 1 hour work = $\frac{2}{9}+\frac{1}{3}+\frac{4}{9}$ ⇒ 2 × (A + B + C)'s 1 hour work = $\frac{2+3+4}{9}=1$ ⇒ (A + B + C)'s 1 hour work = $\frac{1}{2}$ (A + B + C) can finish $\frac{1}{2}$ work in 1 hour. (A + B + C) can finish the total work in 2 hours. Hence, the correct answer is 2 hours.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : Reena, Veena, and Vimla can do a work in 4 hours, 8 hours, and 12 hours, respectively. In how much time will they finish the work working together?
Option 1: $\frac{2}{11}$ hours
Option 2: $5\frac{2}{11}$ hours
Option 3: $3\frac{2}{11}$ hours
Option 4: $2\frac{2}{11}$ hours
Question : A can do as much work as B and C together can do, A and B can do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is:
Option 1: 18 hours
Option 2: 24 hours
Option 3: 30 hours
Option 4: 12 hours
Question : Tom can do a piece of work in 7 days, whereas Jay can do the same work in 14 days. How long will it take to finish the work if both work together?
Option 1: $5 \frac{2}{3}$ days
Option 2: $4 \frac{2}{3}$ days
Option 3: $7 \frac{2}{3}$ days
Option 4: $2 \frac{2}{3}$ days
Question : A can do $\frac{4}{5}$th of a work in 20 days and B can do $\frac{3}{4}$th of the same work in 15 days. They work together for 10 days. C alone completes the remaining work in 1 day. B and C together can complete $\frac{3}{4}$th of the same work in:
Option 1: 6 days
Option 2: 8 days
Option 3: 5 days
Option 4: 4 days
Question : A is twice as good a workman as B, and together they finish a piece of work in 13 days. In how many days will A alone finish the work?
Option 1: $41$
Option 2: $39$
Option 3: $19 \frac{1}{2}$
Option 4: $9 \frac{1}{4}$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile