Question

What is 32ft/h in yd/day?

Answer 1

.4444 yd/day

Explanation:

For this you need to convert the feet into yards. Using some dimensional analysis and knowing the conversion units we can calculate.

`32ft` `xx` `(.3333yd)/(1ft)` = `10.67 yd`

Next is to convert from hours to days. knowing that there are 24 hours in a day will make this conversion somewhat harmless.

Then we set up the math problem: `(10.67yd)/(24hours)` = `(.4444yd)/(day)`
(notice our units are correct.)

Answer 2

`32 ("ft")/("hr") = 256 ("yd")/("day")`

Explanation:

`(32 "ft")/(1 "hr") xx (24 "hr")/(1 "day") xx (1 "yd")/(3 "ft")`

`=(32 color(red)(cancel(color(black)("ft"))))/(1 color(blue)(cancel(color(black)("hr")))) xx (24 color(blue)(cancel(color(black)("hr"))))/(1 "day") xx (1 "yd")/(3 color(red)(cancel(color(black)("ft")))`

`=32/1 xx (cancel(24)^8)/(1 "day") xx (1 "yd")/(cancel(3))`

`= 256 ("yd")/("day")`