A record for a marathon is 2.00h, 9.00min, 21.0 sec. If the average speed of a runner achieving this record is 5.436 m/s, what is the marathon distance?
Answers:
15,878 km
7,761 km
42.2 km
26.2 km
We're omnly two days into the new school year and I don't have all the formulas straight-please help
Thank you
t = 2hr*3600s/hr + 9mim*60s/m + 21s = 7761s.
d = 5.436m/s *7761s = 42188.8m = 42.2km.
Thank you-Much appreciated
It makes sense now
To find the marathon distance, we need to use the formula: distance = speed × time.
Given that the average speed is 5.436 m/s and the record time is 2.00h, 9.00min, 21.0 sec, we need to convert the time to seconds.
2.00h is equal to 2 × 60 × 60 = 7,200 seconds.
9.00min is equal to 9 × 60 = 540 seconds.
21.0 sec is equal to 21.0 seconds.
Now, let's calculate the total time in seconds:
Total time = 7,200 seconds + 540 seconds + 21.0 seconds
Total time = 7,761 seconds
Using the formula, we can now calculate the marathon distance:
Distance = speed × time
Distance = 5.436 m/s × 7,761 seconds
Converting meters to kilometers, 1 kilometer = 1,000 meters. Therefore,
Distance = (5.436 m/s × 7,761 seconds) ÷ 1,000
Calculating this expression, we get:
Distance ≈ 42.2 km
Hence, the marathon distance is 42.2 km.
To find the marathon distance, we can use the formula: distance = speed x time.
First, let's convert the record time of 2.00 hours, 9.00 minutes, and 21.0 seconds into seconds to match the speed unit.
1 hour = 60 minutes = 60 x 60 = 3600 seconds
9 minutes = 9 x 60 = 540 seconds
21.0 seconds
Total time = 2 hours + 9 minutes + 21.0 seconds
= 2 x 3600 seconds + 540 seconds + 21.0 seconds
= 7200 + 540 + 21.0 seconds
= 7741.0 seconds
Now, we can plug in the speed (5.436 m/s) and time (7741.0 seconds) into the formula:
distance = speed x time
distance = 5.436 m/s x 7741.0 seconds
Calculating the distance, we get:
distance ≈ 42093.276 meters
Since the options provided are in kilometers, we need to convert the distance from meters to kilometers:
1 kilometer = 1000 meters
So, the marathon distance is:
distance ≈ 42093.276 meters ÷ 1000 kilometers/meter
distance ≈ 42.093276 kilometers
Rounded to one decimal place, the marathon distance is approximately 42.1 kilometers.
Therefore, the correct option is 42.2 km.