SarkariPYQ

SSC GD 2024 PYQ — Question 42

SSC GD Const (English) - 24 Feb 2024 - Shift 4 • Quantitative Aptitude • Q42

Back to paper

Shyam can complete 3/5 part of a work in 10 days. Rakhi is 1.5 times as efficient as Shyam. In how many days will Rakhi alone complete the same work?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 100/9 days.

Shyam can complete(35)( \frac{3}{5} ) of the work in 10 days. This means that in 1 day,Shyam completes:

⇒35÷10=350\frac{3}{5} \div 10 = \frac{3}{50} of the work

Rakhi is 1.5 times as efficient as Shyam. This means Rakhi’s rate of work is:

⇒ 1.5×350=91001.5 \times \frac{3}{50} = \frac{9}{100} of the work 

The number of days she will take to complete 1 full work is:

⇒ 19100=1009\frac{1}{\frac{9}{100}} = \frac{100}{9}