SSC CGL 2022 PYQ — Question 88

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q88

A student goes to school at a speed of 512\frac 1 2km/h and returns at a speed of 4 km/h. If he takes 434\frac3 4 hours for his entire journey, then the total distance covered by the student (in km) is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 22.

A student goes to school at a speed of 512\frac 1 2km/h = 11/2 km/h and returns at a speed of 4 km/h.

Let's assume the Distance is D.

According to the question,

D/(11/2) + (D/4) = 19/4

⇒ 2D/11 + D/4 = 19/4

⇒ (8D + 11D)/44 = 19/4

⇒ (19D)/44 = 19/4

D = 11

Total distance covered by him = 2D = 22 km