The time it took car P to travel 600 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s

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问题 The time it took car P to travel 600 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?

选项 A、40
B、50
C、60
D、70
E、80

答案B

解析 You could set this up algebraically and eliminate a variable, but it might be faster to just set up a simple equation and plug in the answers until one fits the statements in the question. If car R is traveling at answer A’s 40 miles per hour, then it will travel the 600 miles in 15 hours, while car P traveling at 50 mph will cover the 600 miles in 12 hours; this does not meet the 2-hour difference mentioned. If car R is traveling at answer B’s 50 mph, then it will take 12 hours to cover 600 miles, while car P will cover it in 10 hours at 60 mph; this meets the 2-hour difference specified in the question, so B is the correct answer.
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