Question : A can do as much work in 4 days as B can do in 5 days and B can do as much work in 6 days as C in 7 days. In what time will C complete a piece of work that A can do in a week?
Option 1: $10\frac{5}{24}$ days
Option 2: $4\frac{4}{5}$ days
Option 3: $6\frac{8}{15}$ days
Option 4: $12\frac{6}{19}$ days
Correct Answer: $10\frac{5}{24}$ days
Solution :
A's 4-day work = B's 5-day work
The ratio time is taken by A and B = 4 : 5
B's 6-day work = C's 7-day work
The ratio of time taken by B and C = 6 : 7
Combining the two ratios, we get:
The ratio of time taken by A, B and C,
A : B : C = 4 × 6 : 5 × 6 : 7 × 5 = 24 : 30 : 35
The ratio efficiency of A : B : C = $\frac{1}{24}:\frac{1}{30}:\frac{1}{35} = 35:28:24$
Let one day's work of A, B, and C be 35, 28 and 24 units.
7 days work of A = $7\times 35 = 245$ units
245 units completed by C = $\frac{245}{24}=10\frac{5}{24}$
Hence, the answer is $10\frac{5}{24}$ days.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
