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1. A train traveled p miles in 40 minutes and completed the remaining 200 miles of the trip in q minutes. What was its average speed, in miles per hour for the entire trip?
- A. 60(p+200)/ (40+q)
- B. 60(p+200)/ (40+q)
- C. 60(p+200)/ (40+q)
- D. 60(p+200)/ (40+q)
Answer: Option A
Explanation:
The average speed of the train for the entire trip can be calculated by dividing the total distance traveled by the total time taken. The total distance traveled is p + 200 miles, and the total time taken is 40 + q minutes. To convert minutes to hours, we divide by 60. Therefore, the average speed in miles per hour is:
(40+q)/60p+200
To simplify this expression, we multiply both the numerator and the denominator by 60, and get:
40+q60(p+200)
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