Question : A alone can make a table in 30 days while B alone can make it in 15 days. B started work alone and worked for 8 days. In how many days A alone can finish the remaining work?
Option 1: 14 days
Option 2: 10 days
Option 3: 12 days
Option 4: 15 days
New: SSC CHSL tier 1 answer key 2024 out | 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: 14 days
Solution :
Given,
A can make a table in 30 days.
B can make a table in 15 days.
B worked for 8 days.
Work done = Time × Work rate
⇒ Rate of A = $\frac{1}{30}$ table/day
⇒ Rate of B = $\frac{1}{15}$ table/day
⇒ Work done by B = Rate × Time = $\frac{1}{15} ×8 = \frac{8}{15}$ table
Remaining work = $1 - \frac{8}{15}=\frac{7}{15}$ table
So, the time taken by A to finish the remaining work $=\frac{\text{Work}}{\text{Rate}}=\frac{\frac{7}{15}}{\frac{1}{30}} = 14$ days
Hence, the correct answer is 14 days.
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 “”.
