Riya runs 3 2 times as fast as Prerna In a race if Riya gives a lead of 100 m to Prerna find the dis...........

Quantitative Aptitude (CHSL) Time & distance

Riya runs 3/2 times as fast as Prerna. In a race, if Riya gives a lead of 100 m to Prerna, find the distance Riya has to run before

both of them meet.

This questions was previously asked in

SSC CHSL 9th June 2022 Shift-2

315 m

300 m

265 m

240 m

- Riya runs at a speed that is 3/2 times faster than Prerna.

- This means if Prerna runs at a speed \( p \), Riya runs at a speed of \( \frac{3}{2}p \).

- In the race, Riya gives Prerna a 100-meter lead.

- When they meet, the time Riya takes to cover her distance is the same as Prerna's total time to cover her distance.

- If Riya runs \( x \) meters, then Prerna will run \( x + 100 \) meters.

- Since Riya's speed is \( \frac{3}{2} \) compared to Prerna's, the equation becomes: \(\frac{x}{\frac{3}{2}p} = \frac{x + 100}{p}\).

- Solve this equation: \(2x = 3x + 300\), leading to \(x = 300\).

Correct Answer: 300 m

Submit Error