Question

In an 8.00 km race, one runner runs at a steady 11.0 km/h and other runs at 14.8 km/h. How far from the finish line is the slower runner when the fast runner fisnishes the race?

Answer 1

The slower runner is 2.055 km away from the finish line when the faster runner finishes the 8.00 km race.

Step-by-step explanation:

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:

1. 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.
2. 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.
3. 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.

Answer 2

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.