Question for-a-

3.1 Ratios, Rates, and Proportional Relationships - Word problems with proportional reasoning
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For a person m miles from a flash of lightning, the length of the time interval from the moment the person sees the lightning to the moment the person hears the thunder is k seconds. The ratio of m to k can be estimated to be 1 to 5. According to this estimate, the person is how many miles from a flash of lightning if the time interval is 25 seconds?

A.

10

B.

9

C.

6

D.

5

For a person m miles from a flash of lightning, the length of the time interval

Easy-difficulty · SAT Math · Ratios, Rates, and Proportional Relationships — Word problems with proportional reasoning. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. It’s given that the ratio of m to k is estimated to be 1 to 5. Therefore, when k equals 25, the relationship between these ratios can be expressed by the proportion m over 25, equals one fifth. Multiplying both sides of this equation by 25 yields m equals 5.

Choices A, B, and C are incorrect and may result from calculation errors.