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Answer :
Nasir's running speed, initially given as 20 km/h, must be converted to m/s, which equals 5.56 m/s. After calculating the time Nasir took to run the 1500 meters, we find Yasir's speed to be approximately 5.00 m/s.
To determine the running speed of Nasir, we can use the information provided about the race between Nasir and Yasir. We know that Nasir had to cover a total distance of 2000 meters, while Yasir was given a 150-meter lead and was overtaken at the 1500-meter mark. Given that Nasir's speed is 20 km/h, we can convert this speed into meters per second to find out the speed at which Nasir caught up with Yasir.
First, convert Nasir's speed from km/h to m/s:
- 20 km/h = 20
- 20 km/h = 20 × 1000 m / (60 × 60 s) = 5.56 m/s
Since both runners started at the same time, and Nasir caught up to Yasir, we can set up the situation as follows:
- Distance covered by Nasir = 1500 meters
- Distance covered by Yasir = 1350 meters
- Time taken by both = t seconds
- Speed of Nasir (given) = 5.56 m/s
- Speed of Yasir = distance/time = 1350/t
Now, knowing the time Nasir took:
- t = Distance / Speed of Nasir = 1500 / 5.56
- t ≈ 269.78 seconds
Now, calculating Yasir's speed:
- Speed of Yasir = 1350 / t = 1350 / 269.78
- Speed of Yasir ≈ 5.00 m/s
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