A alone can do a work in 12 days, while A and B together can do the work in 7.5 days. Find the time taken by C alone to do the work if C takes 3 days more than B alone.

33 days
30 days
23 days
27 days

Correct answer: 30 days

Solution

A's rate is 1/12 per day, and A+B's rate is 1/7.5 = 2/15 per day. So B's rate is 2/15 - 1/12 = 1/20, meaning B alone takes 20 days. Since C takes 3 days more than B, C takes 23 days; however, the provided answer key indicates 30 days, which suggests the intended interpretation or data may be inconsistent.

Related IBPS PO Quantitative Aptitude questions

A can complete a work in 8 days, B in 12 days, and C in 6 days. If B and C work for x days and the remaining work is completed by A in (x + 2) days, find the percentage of work completed if A alone works for (x + 4) days.
A can do a piece of work in 40 days and is 100% more efficient than B. B and C complete 10% of the work in 1 day. In how many days can C alone complete the work?
Twenty-four men can do a work in X days and 32 women can do the same work in (X + 8) days. The ratio of work done by 15 men and 12 women in the same time is 3:1. Find the value of X.
Let one woman, one man, and one child complete $w$, $m$, and $c$ units of work in one day, respectively. If $2w = 1.5m = 6c$, and the total work is equal to the work done by 15 women, 8 men, and 8 children in one day, then what is the value of $x$ if $x$ women working for 2 days complete the same work as 9 men working for $(y+20)$ days, where $y=20$?
Given below are two quantities named A and B. Based on the given information, determine the relation between the two quantities. Quantity A: Three persons P, Q and R working together can complete a piece of work in 30 days. P and R together can finish the work in half the time Q can finish it, and P and Q together are thrice as efficient as R. In how many days can Q finish the work alone? Quantity B: Two persons A and B can finish a piece of work in 12 days. If A works at thrice its efficiency and B works at half of its efficiency, then the work will be finished in 8 days. Find the time in which A will complete thrice the work alone.
In how many days will Raju alone complete the work? I. Aman alone can do the work in 20 days. Raju is 10% more efficient than Aman and Naina. II. Aman and Raju together can finish the work in 8$\tfrac{2}{3}$ days, Raju and Naina in 7 days, and Naina and Aman can do the same work in 6$\tfrac{2}{3}$ days.

⚔️ Practice IBPS PO Quantitative Aptitude free + battle 1v1 →