Question

It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show your work using the CORRECT CONVERSION FACTORS.

100 POINTS

Answer 1

Exactly 1,407 hours

Explanation:

Simplified:

There are 24 hours in one day.

so to find hours you multiply the number of days by 24. like so:

58x24 which equals 1,392

then you do not want to forget the additional 15 hours

1,392+15=1,407hours.

Conversion Factors:

1day/24 hours x 58days/ x hours

`(1)/(24) * (85)/(x) = (85)/(1392)`

cross multiplication: 24*58= 1392=x = 1*x

x=1392

Add additional 15 hours

1392 + 15 = 1,407

Total hours = 1,407

Answer 2

Explanation:

It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation.. We are going to write the time not in days, hours and minutes, but only hours. This means that we have to write 58 days as hours and 30 minutes as hours. 1 day is 24 hours, so 58 days are 58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32 =1,200+192=1,392 (hours) 60 minutes are 1 hour, so 30 minutes are 0.5 hours. Thus 58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours Answer: 1,407.5 hours