Question : 12 men can do work in 8 days while 4 boys can do it in 40 days. In how many days 9 boys and 3 men together will complete the same work?
Option 1: 10 days
Option 2: $\frac{280}{13}$ days
Option 3: $\frac{80}{7}$ days
Option 4: $\frac{260}{17}$ 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: $\frac{80}{7}$ days
Solution :
12 men can do work in 8 days while 4 boys can do it in 40 days.
$M_{1}D_{1} = M_{2}D_{2}$
$⇒ 12 \text{ men} \times 8 = 4 \text{ boys} \times 40$
$⇒ 12 \text{ men} = 4 \text{ boys} \times\frac{40}{8}$
$⇒ 3 \text{ men} = 5 \text{ boys}$
$⇒ 1 \text{ man} = \frac{5}{3} \text{ boys}$
Now in the second case, 4 boys can do work in 40 days.
1 boy can do the work in 40 × 4 days = 160 days
9 boys and 3 men = $9 + \frac{5}{3} \times 3$ boys
9 boys and 3 men = 14 boys
14 boys can do in = $\frac{160}{14} = \frac{80}{7}$ days.
Hence, the correct answer is $\frac{80}{7}$ 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 “”.
