SSC CGL 2021 PYQ — Question 54

SSC CGL - 18 Aug 2021 - Shift 3 • Quantitative Aptitude • Q54

Suman travels from place X to Y and Rekha travels from Y to X, simultaneously, After meeting on the way, Suman and Rekha reach Y and X, in 3 hours 12 minutes and 1 hour 48 minutes, respectively. If the speed of Rekha is 9 km/h, then the speed (in km/h) of Suman is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 6346\frac{3}{4}

Time taken by Suman = 3 hours + 12 minutes = 3 + 1/5 = 16/5 hours

Time taken by Rekha = 1 hour + 48 minutes = 9/5 hours,

As one knows that, 

Speed of Suman/ Speed of Rekha = √(Time taken by Rekha/Time taken by Suman)

s/9 =  95165\sqrt{\frac{\frac95}{\frac{16}{5}}}

s = 6346\frac{3}{4}.