In an 8.00 km race, one runner runs at a steady 11.0 km/h and the other runs at 14.8 km/h. How far from the finish line is the slower runner when the faster runner finishes the race?
Answer (3)
the fast runner will cover 8 km by time = t = d/v =8/14.8 = 0.54 hour at that time ( 0.54 hr ) the slower runner would cover d = v t = 11 .0.54 = 5.94 km So the slower would be at a distance = 8km - 5.94km =2.06 km from the finish line.
To calculate how far from the finish line the slower runner is when the faster runner finishes the 8.00 km race, we need to determine the time it takes for the faster runner to complete the race at 14.8 km/h and then use this time to calculate the distance the slower runner has covered at 11.0 km/h.
Step-by-step calculation:
Calculate the time for the faster runner to finish the race: Time (faster runner) = Distance / Speed = 8.00 km / 14.8 km/h = 0.5405 hours.
Calculate the distance the slower runner covers in this time: Distance (slower runner) = Speed x Time = 11.0 km/h x 0.5405 hours = 5.945 km.
Determine the distance remaining for the slower runner: Distance remaining = Total race distance - Distance covered (slower runner) = 8.00 km - 5.945 km = 2.055 km.
When the faster runner finishes the 8.00 km race, the slower runner is approximately 2.06 km from the finish line. This is determined by calculating the time it takes for the faster runner to complete the race and the distance the slower runner covers in that time. The slower runner runs 5.94 km before the faster runner crosses the finish line.
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