# What is 32ft/h in yd/day?

Nov 22, 2015

.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.

$32 f t$$\times$$\frac{.3333 y d}{1 f t}$ = $10.67 y d$

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: $\frac{10.67 y d}{24 h o u r s}$ = $\frac{.4444 y d}{\mathrm{da} y}$
(notice our units are correct.)

Nov 22, 2015

$32 \left(\text{ft")/("hr") = 256 ("yd")/("day}\right)$

#### Explanation:

$\left(32 \text{ft")/(1 "hr") xx (24 "hr")/(1 "day") xx (1 "yd")/(3 "ft}\right)$

=(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")))

$= \frac{32}{1} \times \frac{{\cancel{24}}^{8}}{1 \text{day") xx (1 "yd}} / \left(\cancel{3}\right)$

$= 256 \left(\text{yd")/("day}\right)$