SSC CGL 2023 PYQ — Question 63

SSC CGL - 21 July 2023 - Shift 4 • Quantitative Aptitude • Q63

Ajeet works 4 times as fast as Sohan. If Sohan can complete a work in 20 days independently, the number of days in which Ajeet and Sohan can together finish the work is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 4.

Given that

Ajeet works 4 times as fast as Sohan

Hence, let the work done by Ajeet in 1 day be 4 units and by Sohan be 1 unit

Sohan completes the job independently in = 20 days 

Hence total work = 20 × 1 =20 units

Hence, the total time taken by both of them working together = 201+4\frac{20}{1+4} = 4 days