Question

Jonas jogged up the hill at an average rate of of a mile per minute and then walked down the hill at an average rate of of a mile per minute. The round trip took him 42 minutes. What is the missing value in the table that represents the distance of the trip down the hill?

Answer 1

Answer: option d) (1/16) (42 - x)

Explanation:

1) You forgot to include the table.

This is the table:

                                    Rate              time                 distance
                                 (mi / min)         (min)                   (mi)

up the hill                    1/12                  x                     (1/12)x

down the hill                1/16                 42-x                     ?

2) You also forgot to include the set of answerchoices. This is it:

a) x
b) -x
c) 42 - x
d) (1/16) (42-x)

3) Solution:

The missing value is the distance of the trip down the hill.

The distance is the rate times the time, i.e.:

distance = rate * time

the rate is given as 1/16, and the time is given as 42 - x, so the distance is:

distance = (1/16) (42 - x), which is the answer.

Answer 2

The correct answer is D