Question : Rama alone can do a work in 5 days working 4 hours a day. Seema alone can do the same work in 3 days working 10 hours a day. How many hours do they need to work together in a day to complete the same work in 6 days?
Option 1: 1 hour
Option 2: 3 hours
Option 3: 5 hours
Option 4: 2 hours
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 2 hours
Solution :
Rama's work = 5 × 4 = 20 hours
Seema's work = 3 × 10 = 30 hours
Hourly work of Rama = $\frac{1}{20}$
Hourly work of Seema = $\frac{1}{30}$
Combined one hour work of Rama and Seema $=\frac{1}{20}+\frac{1}{30}=\frac{2+3}{60}=\frac{1}{12}$
If they want to finish the work in 6 days at the rate of $\frac{1}{12}$ per hour, they need to work hourly per day $=\frac{1}{6\times\frac{1}{12}}= 2$
Hence, the correct answer is 2 hours.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
