Question : A can finish a work in 15 days, B can finish the same work in 25 days. They work together for 5 days. The rest of the work is finished by A and C in 4 days. Then C alone can finish the work in:
Option 1: 18 days
Option 2: 24 days
Option 3: 20 days
Option 4: 21 days
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Correct Answer: 20 days
Solution : Given, time taken by A and B to complete the work is 15 and 25 days respectively. Efficiency of A = $\frac{1}{15}$ units/ day Efficiency of B = $\frac{1}{25}$ units/ day Work done in 5 days by A and B = $5(\frac{1}{15}+\frac{1}{25})=\frac{8}{15}$ So, Remaining work = $1-\frac{8}{15}=\frac{7}{15}$ Let the efficiency of C be $x$. According to the question, $\frac{7}{15}=4(\frac{1}{15}+x)$ $⇒4x=\frac{1}{5}$ $⇒x=\frac{1}{20}$ So, C can finish the work in 20 days Hence, the correct answer is 20 days.
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Question : Three people A, B, and C worked together and finished a work in 9 days. If A alone can finish the same work in 18 days, and B alone in 30 days, then the number of days C alone will take is:
Option 1: 36 days
Option 2: 45 days
Option 3: 40 days
Option 4: 54 days
Question : A and B can finish a work together in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days can A alone finish the job?
Option 1: 50 days
Option 2: 60 days
Option 3: 48 days
Question : A, B, and C together can finish a piece of work in 20 days. A alone can finish the work in 40 days. What part of the work B and C together can finish in a day?
Option 1: $\frac{1}{5}$
Option 2: $\frac{1}{20}$
Option 3: $\frac{1}{10}$
Option 4: $\frac{1}{40}$
Question : A and B together can complete a work in 20 days. B and C together can complete the same work in 15 days. If A, B, and C all work together, then the same work gets completed in 10 days. How many days will A and C together take to complete the same work?
Option 1: 8 days
Option 2: 10 days
Option 3: 15 days
Option 4: 12 days
Question : Ali, Avtar Singh, and Ashok working together can finish a work in 8 days. Ali alone can do it in 20 days and Avtar Singh alone can do it in 24 days. In how many days can Ashok alone do the same work?
Option 1: 30
Option 2: 28
Option 3: 26
Option 4: 25
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