Homework Help

Conversion ProblemConvert 24.8 miles to the equivalent value in kilometres. How can we...

user profile pic

nhl123 | Student, Grade 11 | (Level 1) Valedictorian

Posted September 24, 2012 at 4:34 PM via web

dislike 0 like

Conversion Problem

Convert 24.8 miles to the equivalent value in kilometres. How can we do this  first determining the unit conversion factor needed to convert values in miles to values in kilometres, starting with the unit conversion factors 25.4 mm/in., 12 in./ft., 1 yd./3 ft. and 1 mi./1760 yd. Finish this problem by performing the actual conversion

1 Answer | Add Yours

user profile pic

vixen999 | High School Teacher | (Level 2) Adjunct Educator

Posted September 24, 2012 at 5:01 PM (Answer #1)

dislike 1 like

This could be answered in one long string of factors, but I will break it up into separate factors for the sake of a clear explanation.

24.8 miles / x yards = 1 mile / 1760 yards

This gives us 24.8(1760) = 43,648 yards.

 

Then, we can convert yards to feet.

43,648 yards / x feet = 1 yard / 3 feet

This gives us 43,648(3) = 130,944 feet

 

Then, we can convert feet to inches

130,944 feet / x inches = 1 foot / 12 inches

This gives us 130,944(12) = 1,571,328 inches

 

Then, we can convert inches to milimeters

1,571,328 inches / x mm = 1 inches / 25.4 inches

This gives us 1,571,328(25.4) = 39,911,731.20 mm

 

Finally, we have to remember that there are 1000 mm in a kilometer, so we get

39,911,731.29 mm / x kilometers = 1000 mm / 1 km

Which gives us a final answer of 39,911.73 kilometers.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes