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.