SSC GD 2021 PYQ — Question 55

SSC GD Constable (English) - 2nd December 2021 Shift 3 • Quantitative Aptitude • Q55

Seema works at a rate such that she can finish a work in 28 h, but she works at this rate for 7 h only. After diet, she works at a rate such that she can finish the remaining work in 16 h. If seema is to finish this work at a stretch how many hours (total) will she take to finish this work?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 19.

Given:

Seema works at a rate such that she can finish a work in 28 h

Formula used:

Total work = efficiency × time        ----- (1)

Calculations:

Let the efficiency of seema be x

Using equation (1), we get

⇒ Total work = 28x

Work completed in 7 hours = 7x

Remaining work = 28x - 7x = 21x

Seema complete the remaining work in 16 hours = 28x/16 = 7x/4

Time required to complete the remaining work = 21x/(7x/4) = 12 hours

Required total time = 7 + 12 = 19 hours