233k views
4 votes
Paul runs 4.8 km every morning. How many feet are in 4.8 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet?

User Joram
by
8.7k points

2 Answers

1 vote
There are 15 748.0315 feet in 4.8 km.
Hope this helps!
User Louis Kurniawan
by
8.7k points
4 votes

Answer:


15.751ft

Explanation:

This is a conversion of units problem, so first you have 4.8 km and you need to convert it to feet.

First you take the quantity you need to convert:

4.8km

Then you put a factor, in the denominator you put the conversion factor with the same units that the number that you want to convert, that is:


4.8km*\frac{}{1.609km}

Then in the numerator you put the second unit that you have, in this case, the problem gives you that 1 mile = 1.609km, so:


4.8km*(1mile)/(1.609km)

Then, as the problem says that convert the 4.8km to feet, you put the next factor in the same way:


4.8km*(1mile)/(1.609km)*(5280feet)/(1mile)

Finally, you multiply the initial quantity and the numerators and divide by the denominators, and you have:


4.8km*(1mile)/(1.609km)*(5280feet)/(1mile)=(25344)/(1.609)ft


(25344)/(1.609)=15.751ft

User Madteapot
by
8.7k points