SSC Selection Post 2022 PYQ — Question 55

SSC Selection Post - Matriculation Level 2022 - 9 Feb 2022 - Shift 1 • Quantitative Aptitude • Q55

A man covers a certain distance at the speed of x km/h and returns to the starting point at 56 km/h. If his average speed for the whole journey is 63 km/h, then what is the value of x?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 72.

Average speed = 2xyx+y2xy\over x+y

⇒ 63 = 2x×56x+562x\times56\over x+56

⇒ 9 = 2x×8x+562x\times8\over x+56

⇒ 9x + 504 = 16x

⇒ 7x = 504

⇒ x = 72