conversion help

[acampo]

A word problem concerning conversion.

A visitor requires 1 qt of water for every 2 miles walked. If density of water is .949 g/mL, how many kilograms of water is required to walk 38 kilometers.

38km to miles which is 23.6 miles. Then I began to convert the .949g/ml to kg/qt, and from there it went crazy.

Some pointers?
Thanks

 

[tkhunny]

A word problem concerning conversion.

A visitor requires 1 qt of water for every 2 miles walked. If density of water is .949 g/mL, how many kilograms of water is required to walk 38 kilometers.

38km to miles which is 23.6 miles. Then I began to convert the .949g/ml to kg/qt, and from there it went crazy.

Some pointers?
Thanks

You could try a little "Dimensional Analysis" and keep it organized.

\(\displaystyle \L\;(38\;km)\;*\;\left(\frac{23.612\;miles}{38\;km}\right)\;*\;\left(\frac{1\;qt\;water}{2\;miles}\right)\;*\;\left(\frac{0.946\;litre}{1\;qt\;water}\right)\;*\;\left(\frac{1000\;ml}{1\;litre}\right)\;*\;\left(\frac{0.949\;gm}{1\;ml}\right)\;*\;\left(\frac{1\;kg}{1000\;gm}\right)\)

You don't have to try to keep it all in your head. Write it down.

Multiply or divide all the constants. Check all the units. You're done.