SSC Selection Post 2024 PYQ — Question 67

SSC Selection Post - Matriculation Level - 25 June 2024 - Shift 1 • Quantitative Aptitude • Q67

Two workers, Sagar and Manish, are working on a heavy machine to melt waste metal. Sagar can complete the work in 15 days, while both workers on an alternate basis can complete the work in 12 days. In how many days can Manish alone complete the work?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 10.

Let the time taken by Manish be M

1 day's work of Sagar = 1151\over15

1 day's work of manidh = 1M1\over M

Working on alternate days means 6 days Sagar will work and 6 days Manish will work

Total work done in 12 days = 6 × 1151\over15 + 6 × 1M1\over M = 1

⇒ 6156\over15 + 6M6\over M = 1

⇒ 6M6\over M = 1 - 252\over5

⇒​​​​​​​ 6M6\over M = 353\over5

⇒​​​​​​​ M = 10