SSC CHSL 2019 PYQ — Question 69

SSC CHSL - 5th July 2019 - Shift 1 • Quantitative Aptitude • Q69

A, B and C can complete a piece of work in 5, 20 and 60 days respectively, Working together, the same work will be done in how many days?

Show answer & explanation

Correct answer: A

Explanation

 The correct answer is option 1 i.e.

Understanding

Application

Total work = LCM of 5, 20 and 60 = 60 units

Hence,

Efficiency of A = 60/5 = 12 units

Efficiency of B = 60/20 = 3 units

Efficiency of C = 60/60 = 1 unit

Total efficiency = 12 + 3 + 1 = 16

Hence,

Time in which they will complete the work together = 60/16 = 15/4 =   days