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antoniya [11.8K]
4 years ago
5

Task #2: Ants and Sloths

Mathematics
1 answer:
oee [108]4 years ago
5 0

Answer:

The answer is that black worker ant travels farther than three-toed sloth.

Step-by-step explanation:

<u>Step 1:</u>

Calculate distance travel by ant in maximum life time that is 5 months:

Convert seconds into hour:

60*60=3,600 seconds in an hour

Find out how many seconds are there in an hour:

3,600*24 = 86,400 seconds in 24 hours/a day

Ant moves 3 inches in 1 second so below is the calculation for movement in a day:

3*86,400 = 259,200 inches/day

Convert inches to feet:

1 ft = 12 in

1 in = 1/12 ft

259,200 in = 259,200/12 ft

259,200 in = 21,600 ft

Hence, ant moves 21,600 ft in a day

Calculate for 5 months:

Days in 5 months = 30*5 = 150

Distance in 5 months = 150*21600

Distance covered by ant in a lifetime = 3,240,000 ft

<u>Step 2:</u>  

Calculate distance travel by sloth in maximum life time that is 30 years:

Covert years to months:

30*12 = 360 months

Convert months to days:

360*30 = 10800 days

Calculate distance for 30 years:

Sloth moves 125 ft in a day so below is the calculation for lifetime:

10800*125 = 1,350,000 ft

Since, 3,240,000 ft is greater than 1,350,000 ft, hence proved that black worker ant travels farther than three-toed sloth.

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