SSC Selection Post 2020 PYQ — Question 54

SSC Selection Post - Graduation Level 2020 - 10 Nov 2020 - Shift 3 • Quantitative Aptitude • Q54

The speed of a boat downstream is 2.5 times its speed upstream. If the total time taken by the boat for going 15 km downstream and the same distance upstream is 423\frac{2}{3} hours, then what is the speed (in km/h) of the boat downstream?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 111411\frac{1}{4}.

Let upstream speed = x km/h and Downstream speed = 2.5x km/h

15/(2.5x) + 15/x = 14/3

⇒ 6/x + 15/x = 14/3

⇒ x = (21 × 3)/14 = 4.5 km/h

Downstream speed = 2.5 × 4.5 = 11.25 km/h