Question

Estimate how many days it would take to walk around the world, assuming 12 h walking per day at 4 km/h. assume that the oceans are crossed in the same manner as the land. the radius of earth is 6.38 Ã 103 km.

Answer 1

Answer:836 days

Explanation:

Given

radius of earth is
`6.38* 10^3 km`

Walking speed 4 km/h

walking 12 hour a day

perimeter of earth is
`2\pi r`

Time taken
`=(2\pi r)/(4)=10,022.98 hr`

therefore it requires
`(10,022.98)/(12)=835.24 \approx 836days`

Answer 2

The circumference of the Earth is calculated through the equation,
C = 2πr
where C is the circumference and r is the radius.

Substituting the given to the equation,
C = 2π(6.38 x 10³)
C = 12760π km

We determine the number of hours that needs to be spent in order to walk around the calculated circumference. This can be calculated through the equation.
t = distance / speed
Substituting the known values,
t = (12760π km) / (4 km/h)
t = 3190π hours

Then, we calculate for the number of days given that only 12 hours is spent per day for the walk.
number of days = (3190π hours) / (12 hours/day)
number of days = 835.14 days

ANSWER: 635.14 days