Transcript for:
PSLE 2023 Math Question on Speed

Can you solve this PSLE 2023 math question on speed? Let’s read this question together. Now the fastest student can solve it in 3 simple steps. Let’s see if you’ll solve it in the same way. Faizal and Elise started jogging from the same spot at the same time. There’s nothing difficult here so far. Then, we’re given that Faizal’s speed was 30 m/min faster than that of Elise’s. What does this mean? This means that for every minute that Elise jogged, Faizal would have jogged 30 m more than her. Next, we know that both of them did not change their speed throughout the jog. That’s good news! Nothing that makes what we have more complicated. Then here comes the part that links everything together. Faizal jogged all the way to the end of the track and immediately made a U-turn. Faizal and Elise passed each other at the 4000-m mark of the track. Let’s look at the question that we need to solve. What was Elise’s speed? This is where it pays to know the speed-distance-time formula. To find Elise’s speed, we need to know 2 things - the distance that she jogged and the time that she took. Do we know that? Well, we know that she jogged a distance of 4000 metres when she met Faizal, BUT we don’t know how long she took. How many of you are stuck? Don’t be, alright? Because there’s always light at the end of the tunnel. Remember that Faizal’s speed was 30 m/min faster than Elise’s speed? Let’s use this clue to help us out! From the diagram, we can tell that Faizal jogged a distance of 600 metres x 2, 1200 metres more than Elise in the same amount of time, agree? And according to the clue, we know Faizal jogged 30 metres more than Elise every minute. So let’s divide 1200 by 30 to find how much time Faizal took to jogged to the point that he met Elise. Did you get 40? Good job! Now that we know Faizal took 40 minutes, we can also tell that Elise must have taken 40 minutes to reach the same point. And we have exactly what we need to solve this question. To find Elise’s speed, let’s divide the distance that she jogged by the amount of time she took. When we divide 4000 by 40, we get an answer of 100. So Elise’s speed is 100 metres / minute.