PSLE 2023 Math Question on Speed

Problem Statement

Faizal and Elise started jogging from the same spot at the same time. Faizal's speed was 30 m/min faster than Elise's.

• Both maintained constant speeds during their jog.
• Faizal jogged to the end of the track and did a U-turn.
• They passed each other at the 4000 m mark.

Information Given

• Faizal's speed = Elise's speed + 30 m/min
• When they passed each other: Elise jogged 4000 m
• Faizal jogged 1200 m more than Elise when they met (distance of 600 m each way for U-turn)

Formulas to Use

• Speed = Distance / Time

Solution Steps

1. Set up the problem: Need to find Elise's speed.
2. Faizal's extra distance jogged = 1200 m (600 m each way).
3. Using the information that Faizal jogged 30 m more per minute:
   • Time taken by Faizal to jog extra 1200 m = 1200 m / 30 m/min = 40 min.
4. Time taken by Elise to reach 4000 m = Time taken by Faizal = 40 min.
5. Calculate Elise's speed:
   • Distance = 4000 m
   • Time = 40 min
   • Speed = Distance / Time = 4000 m / 40 min = 100 m/min

Answer

Elise's speed = 100 m/min