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 = 15/4# or #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 1/4# for #d# and solve for #t#.

# 1 1/4 = 1/3t#

#4/4 + 1/4 = 1/3t#

#5/4 = 1/3t#

#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#