Question
Download Solution PDFA group of college students had decided to complete a project in 10 days. As 2 students dropped out every day, the project got completed at the end of the 15th day. The number of students at the beginning of the project was:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A group of college students complete a project = 10 days
Formula used:
Total work = efficiency × time
Sum of n terms = (n/2) × [a + l]
Where, n = number of terms; a = first term; l = last term
Calculation:
Let the number of students in a group initially = x
According to the question:
⇒ x + (x - 2)......(x - 28) = x × 10
⇒ (15/2) × [x + x - 28] = 10x
⇒ 3 × [2x - 28] = 4x
⇒ 6x - 84 = 4x
⇒ 2x = 84
⇒ x = 42 students
∴ The correct answer is 42 students.
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