# The equation d = 1/3t describes the distance d. in yards, an object travels in t minutes. How long does it take the object to travel 1 1/4 yards?

Dec 6, 2016

$t = \frac{15}{4}$ or $t = 3 \frac{3}{4}$

It would take the object 3 3/4 minutes or 3 minutes and 15 seconds to travel 1 1/4 yards.

#### Explanation:

In this problem we can substitute $1 \frac{1}{4}$ for $d$ and solve for $t$.

$1 \frac{1}{4} = \frac{1}{3} t$

$\frac{4}{4} + \frac{1}{4} = \frac{1}{3} t$

$\frac{5}{4} = \frac{1}{3} t$

$\frac{3}{1} \frac{5}{4} = \frac{3}{1} \frac{1}{3} t$

$\frac{15}{4} = \frac{\cancel{3}}{\cancel{1}} \frac{\cancel{1}}{\cancel{3}} t$

$\frac{15}{4} = t$

$t = \frac{12}{4} + \frac{3}{4}$

$t = 3 \frac{3}{4}$