SSC CGL 2022 PYQ — Question 59

SSC CGL - 20 April 2022 - Shift 2 • Quantitative Aptitude • Q59

P and Q completed a work together and were paid Rs 1080 and Rs 1440, respectively. If P can do the entire work in 20 days, how many days did they take to complete the work together?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e.  847\frac{4}{7}

Given:

Earning of P = Rs. 1080

earning of Q = Rs. 1440

Time taken by P = 20 days

Concept Used:

Total work = Efficiency × Time

The earnings are distributed in the ratio of respective efficiencies.

Explanation:

Ratio of amount paid to Pand Q = 1080/1440 = 3 : 4

Now, total work = 20 × 3 = 60 units

So, time taken by both of them to complete the work = 60/7 = 8478\dfrac{4}{7}days.