Question : Suresh alone can do work in 10 days working 1 hour a day. Balu alone can do the same work in 2 days working 5 hours a day. How many hours do they need to work together in a day to complete the same work in 10 days?
Option 1: 1.5 hours
Option 2: 0.5 hours
Option 3: 1 hour
Option 4: 2 hours
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: 0.5 hours
Solution : Total time taken by Suresh to do the work = 10 × 1 = 10 hours ⇒ Part of the work done by Suresh in an hour = $\frac{1}{10}$ Total time taken by Balu to do the work = 5 × 2 = 10 hours ⇒ Part of the work done by Balu in an hour = $\frac{1}{10}$ So, part of the work done by Suresh and Balu together in a day = $\frac{1}{10}$ + $\frac{1}{10}$ = $\frac{1+1}{10}$ = $\frac{1}{5}$ $\therefore$ Total time Suresh and Balu took to do the work = $\frac{1}{\frac{1}{5}}=5$ hours = 0.5 hours per day for 10 days Hence, the correct answer is 0.5 hours.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : Working 12 hours per day, Raj can complete a work in 12 days. How many hours per day he should work to finish the same work in 9 days?
Option 1: 20 hours
Option 2: 24 hours
Option 3: 12 hours
Option 4: 16 hours
Question : S alone can do a piece of work in 14 days. T alone can do the same work in 21 days. U alone can do the same work in 28 days. Working together, in how many days will they complete the work?
Option 1: $\frac{84}{13}$ days
Option 2: $\frac{77}{13}$ days
Option 3: $\frac{71}{13}$ days
Option 4: $\frac{87}{13}$ days
Question : 12 men can complete a work in 6 days working 4 hours per day. If 4 men work 8 hours per day, then in how many days the same work will be completed?
Option 1: 8 days
Option 2: 6 days
Option 3: 9 days
Option 4: 10 days
Question : X and Y together can do a work in 10 days. Y and Z together can do the same work in 15 days. Z and X together can do the same work in 12 days. In how many days can Z alone do the same work?
Option 1: 80 days
Option 2: 60 days
Option 3: 40 days
Option 4: 50 days
Question : A alone can do $\frac{1}{10}$th part of a work in 8 hours. B alone can do $\frac{1}{5}$th part of the same work in 4 hours. If they work together, then how many hours will they take to complete $\frac{9}{16}$th part of the same work?
Option 1: 9 hours
Option 2: 5 hours
Option 3: 8 hours
Option 4: 4 hours
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile