SSC CGL 2023 PYQ — Question 62

SSC CGL - 21 July 2023 - Shift 4 • Quantitative Aptitude • Q62

Anil and Tirath drove between two points A and B 192 km apart. Anil started the journey from point A at 8:20 a.m.; drove at a speed of 64 km/h; reached point B and immediately returned to A at the same speed. Tirath started the journey from point A at 9:50 a.m.; drove at a speed of 96 km/h; reached point B and immediately returned to A at the same speed. At what time did Anil and Tirath first meet each other?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 11:38 a.m.

Speed = distancetime\frac{distance}{time}

Anil reaches point B, which is 192 km away in = 19264\frac{192}{64} 3 hours

Hence, Anil reaches B at 11:20 a.m. 

At 11:20 am, Tirath has covered a distance of = 1.5 × 96 = 144 km

Distance between Anil and Tirath = 192 - 144 = 48 km

Relative speed = 64 + 96 = 160 km/h

Hence, time = 48160\frac{48}{160} = 0.3 hours = 18 mins

Hence, they both meet at 11:38 a.m.