Question : A man alone can paint a house in 9 days and a woman alone can paint the house in 18 days. If 3 men and 3 women worked together, then in how many days they will paint the house?
Option 1: 4 days
Option 2: 3 days
Option 3: 2 days
Option 4: 6 days
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 2 days
Solution : Time taken by a man to complete the work = 9 days $\therefore$ Part of the work done by 1 man in a day = $\frac{1}{9}$ Time taken by a woman to complete the work = 18 days $\therefore$ Part of the work done by 1 woman in a day = $\frac{1}{18}$ ⇒ Part of the work done by 3 men and 3 women in a day = $\frac{3}{9}$+ $\frac{3}{18}$ = $\frac{1}{3}$+ $\frac{1}{6}$ = $\frac{2+1}{6}$ = $\frac{1}{2}$ So, the time taken by 3 men and 3 women to complete the work = 2 days Hence, the correct answer is 2 days.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : 5 men can complete a work in 12 days, and 6 women can complete the same work in 20 days. In how many days can 1 man and 1 woman together complete this work?
Option 1: 120 days
Option 2: 32 days
Option 3: 40 days
Option 4: 60 days
Question : A alone can do a work in 16 days and B alone can do the same work in 12 days. If they worked together on it for 4 days and A left. How long did B take to finish the remaining work?
Option 1: 7 days
Option 2: 5 days
Option 3: 6 days
Option 4: 8 days
Question : 24 women and 9 men can complete a certain piece of work in 18 days. Each woman takes twice the amount of time taken by a man to finish the work. In how many days can only 9 men finish the same work?
Option 1: 42
Option 2: 35
Option 3: 39
Option 4: 48
Question : A alone can paint a house in 35 days and B alone can do it in 70 days. Along with C, they did the job in 10 days only. In how many days C alone can do the job?
Option 1: 40 days
Option 2: $\frac{70}{3}$ days
Option 3: $\frac{70}{4}$ days
Option 4: 20 days
Question : A, B, and C together can do a piece of work in 6 days. A and B together can do the same work in 12 days. B alone can do the same work in 18 days. In how many days can A and C together do the same work?
Option 1: 9 days
Option 2: 10.5 days
Option 3: 8 days
Option 4: 7.5 days
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile