If 0 5 Y people work on project B for 10 days and then 0 5Y people join the project after 10 d...........

Quantitative Aptitude (SBI-PO) Data Table

Direction : Study the following information carefully and answer the given questions. Data below represent number of people required for various project to be completed in various days:

If 0.5 Y people work on project B for 10 days and then 0.5Y people join the project after 10 days. How many days will it take to complete the Project B?

35 days

40 days

45 days

50 days

None of these

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Explanation:

Ans. B. Work unit of project B in both situation 1 and situation 2 are same.
⇒ Y(Y – 1) = (Y + 6)(Y – 6)
⇒ Y2 – Y = Y2 – 36
⇒ Y = 36 So, total work units = 36 × 35 = 1260
According to the question: 0.5Y × 10 + (0.5Y + 0.5Y) × D = 1260
⇒ 5Y + YD = 1260 ⇒ YD = 1260 – 180 ⇒ D = 1080/36 ⇒ D = 30
Total days in which work completed = 30 + 10 = 40 days