SAT Mathematics Practice Test 3

Question : 29 of 58

Marks: +1, -0

Nate walks 25 meters in 13.7 seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes?

150 meters
450 meters
700 meters
1,400 meters

Validate

Solution:

Because Nate walks 25 meters in 13.7 seconds, and 4 minutes is equal to 240 seconds,
the proportion

{25\text "meters"}/{13.7 \text "sec"}={\text "x meters"}/{240 \text "sec"}

can be used to find out how many meters, x, Nate walks in 4 minutes.
The proportion can be simplified to

25/13.7=x/240

,
because the units of meters per second cancel, and then each side of the equation can be multiplied by 240,giving

{(240)(25)}/{13.7}=x≈438

Therefore, of the given options, 450 meters is closest to the distance Nate will walk in 4 minutes
Choice A is incorrect and may be the result of setting up the proportion as

{13.7 \text "sec"}/{25\text "meters"}={\text "x meters"}/{240 \text "sec"}

and finding that

x≈132

, which is close to 150.
Choices C and D are incorrect and may be the result of errors in calculation.

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