Question

Kyle drives two and three-fourths hours to visit his grandmother when he takes the new expressway, which has cut his trip time in half. How long did his trip take before the expressway was built?

five and one-half hours

one and one-third hours

five-sixths hours

two and one-third hours

Answer 1

@phi help please??

Answer 2

The first step to answering is understand the question. So without going into details, is the answer going to be shorter than 2 and 3/4 or longer ?

Answer 3

longer

Answer 4

@phi

Answer 5

next, interpret which has cut his trip time in half.
that means the old trip took twice as long.
in math:
2 * time_of_new_trip
or
2* 2 3/4

can you do that ?

remember 2 3/4 can be written as (2+ 3/4)
and
2(2 + 3/4) means 2 times each thing inside the parens

Answer 6

ok

Answer 7

or, you can change 2 3/4 to an improper fraction

do you know how to do that ?

Answer 8

yes

Answer 9

@phi is the answer 5 1/2

Answer 10

how did you get it ?