SSC CGL 2020 PYQ — Question 53

SSC CGL - 9th March 2020 Shift 1 • Quantitative Aptitude • Q53

Ram and Shyam can complete a task in  days and 15 days, respectively. They work together for 4 days, and then ram leaves. In how many days after Ram leaves, will Shyam complete the remaining task alone?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 2 days

Let the number of units of work be 60.

The number of units works done by Ram = 60 / (20 / 3)

⇒ 9 units

The number of units works done by Shyam = 60 / 15

⇒ 4 units

The number of units works completed in 4 days = 4 ×(4 + 9)

⇒ 4 × 13 = 52 units

Rest work = 60 - 52 = 8units

⇒ Shyam will take number of days = 8 / 4 = 2days