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?

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Answer 1 · 2016-12-06T23:16:30

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

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

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

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

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

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

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

$15/4 = cancel(3)/cancel(1) cancel(1)/cancel(3) t$

$15/4 = t$

$t = 12/4 + 3/4$

$t = 3 3/4$