SSC CGL 2023 PYQ — Question 70

SSC CGL - 17 July 2023 - Shift 2 • Quantitative Aptitude • Q70

By working 5 hours a day, A can complete a task in 8 days and working 6 hours a day, B can finish the same task in 10 days, working 8 hours a day, they can jointly complete the task in:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 3 days

Given that

A can complete a task in 8 days with working 5 hours a day

B can complete the same task in 10 days with working 6 hours a day

According to the question

⇒ A × 8 × 5 = B × 10 × 6

⇒ A × 40 = B × 60

⇒ A/B = 3/2

Total work = 3 × 8 × 5 = 120

Hence, they can jointly complete the task with working 8 hours a day

= 120/[(3 + 2) × 8] = 120/40 = 3 days