SSC CGL 2019 PYQ — Question 62

SSC CGL - 4th June 2019 - Shift 1 • Quantitative Aptitude • Q62

A truck covers a distance of 384 km at a certain speed. If the speed is decreased by 16 km/h, it will take 2 hours more to covers the same distance. 75% of its original speed (in km/h) is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 48.

⇒ 384x−16384\over x-16 - 384x384\over x  = 2

⇒ 384 (x−x+16x(x−16)x-x+16\over x (x-16)) = 2

⇒ x2 – 16 = 192 × 16

⇒ (x - 64)(x + 48) = 0

⇒ x = 64, -48

So, x = 64

75% of 64 = 48 km/h