SAT Mathematics Practice Test 5

Questions 57 and 58 refer to the following information.

Ms. Simon’s Workday Morning Drive

Segment of drive	Distance(miles)	Average driving speed with no traffic delay(mph)
From home to freeway entrance	0.6	2.5
From freeway entrance to freeway exit	15.4	50
From freeway exit to workplace	1.4	35

Ms. Simon drives her car from her home to her workplace every workday morning. The table above shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive.

Question : 58 of 58

Marks: +1, -0

If Ms. Simon starts her drive at 6:30 a.m., she can drive at her average driving speed with no traffic delay for each segment of the drive. If she starts her drive at 7:00 a.m., the travel time from the freeway entrance to the freeway exit increases by 33% due toslower traffic, but the travel time for each of the other two segments of her drive does not change. Based on the table, how many more minutes does Ms. Simon take to arrive at her workplace if she starts her drive at 7:00 a.m. than if she starts her drive at 6:30 a.m.? (Round your answer to the nearest minute.)

Your Answer:

Validate

Solution:

Ms. Simon travels 15.4 miles on the freeway, and her average speed for this portion of the trip is 50 miles per hour when there is no traffic delay. Therefore, when there is no traffic delay, Ms. Simon spends

{15.4\text "miles"}/{50\text "mph"}=0.308

hours on the freeway. Since there are 60 minutes in one hour, she spends

(0.308)(60)=18.48

minutes on the freeway when there is no delay. Leaving at

7:00

a.m. results in a trip that is

33%

longer, and

33%

18.48

minutes is

6.16;

the travel time for each of the other two segments does not change. Therefore, rounded to the nearest minute, it takes Ms. Simon 6 more minutes to drive to her workplace when she leaves at

7:00

a.m.

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