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?
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)
The train's average speed for the entire trip can be calculated by dividing the total distance travelled by the total time taken. The total distance travelled 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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