The minimum ﬁne for driving in excess of the speed limit is $25. An additional $6 is added to the minimum ﬁne for each mile per hour (mph) in excess of the speedlimit. Rachel was issued a $103 ﬁne for speeding in a 55-mph speed limit zone. For driving at what speed, in mph, was Rachel ﬁned?

Question

Mathematics

Jamison

18 July, 23:42

The minimum ﬁne for driving in excess of the speed limit is $25. An additional $6 is added to the minimum ﬁne for each mile per hour (mph) in excess of the speedlimit. Rachel was issued a $103 ﬁne for speeding in a 55-mph speed limit zone. For driving at what speed, in mph, was Rachel ﬁned?

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Answers (1)

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Callum Ball · Answer 1

Let the excess speed limit be y.

According to your question,

25 + 6y = 103

6y = 103 - 25 = 78

y = 78/6 = 13

Thus, the excess speed was 13 mph.

Thus, speed of Rachel = 55 + 13 = 68mph

Thus, Rachel was driving at 68 mph.