SSC CGL 2019 PYQ — Question 68

SSC CGL - 11th June 2019 - Shift 2 • Quantitative Aptitude • Q68

A is 40% more efficient than B and C is 20% less efficient than B. Working together, they can complete a task in 20 hours. In how many hours will A alone complete 35% of that task?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 16 

Understanding

Application

Let the efficiency of B be x

Efficiency of A will be = 1.4x

Efficiency of C will be = 0.8x

Efficiency ratio of A, B and C = 1.4x : x : 0.8x = 7 : 5 : 4

Total work = (7 + 5 + 4) × 20 = 320

35% of total work = 320 × [35/100] = 16 × 7 = 112

A alone complete 35% of that task = 112/7 = 16 days