Time & Work and Work & Wages Statements
CMAT 2024 · Quantitative Techniques & Data Interpretation · Medium · Time and Work
Given below are two statements :
Statement I : Ram and Shyam can finish a task by working together in 6 days. If Shyam can finish the task by working alone in 8 days, then Ram alone will take 24 days to finish it.
Statement II : If 6 persons working 8 hours a day earn ₹8,400 per week, then 9 person working 6 hours a day will earn ₹9,450 per week.
In the light of the above statements, choose the correct answer from the options given below :
- A.
Both Statement I and Statement II are true
- B.
Both Statement I and Statement II are false
- C.
Statement I is true but Statement II is false
- D.
Statement I is false but Statement II is true
A
Explanation
Statement I: Rate of Ram + Shyam = . Rate of Shyam = . Rate of Ram = . So Ram takes 24 days alone. Statement I is true.
Statement II: Total man-hours per week for 1st group = hours. Earnings per man-hour = . Total man-hours for 2nd group = hours. Earnings = . Statement II is true.
Hence, Option A is correct.
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