A car has to travel to a town 60 miles away at an average speed of 30 miles per hour. Halfway through, the car speeds up to 60 miles per hour. What is the average speed for the whole trip?40 mph36 mph48 mph45 mph
Question
A car has to travel to a town 60 miles away at an average speed of 30 miles per hour. Halfway through, the car speeds up to 60 miles per hour. What is the average speed for the whole trip?40 mph36 mph48 mph45 mph
Solution
To solve this problem, we first need to determine the time it takes for each half of the trip.
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The first half of the trip is 30 miles (half of 60 miles) at 30 miles per hour. So, the time it takes is distance/speed = 30 miles / 30 mph = 1 hour.
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The second half of the trip is also 30 miles, but this time at 60 miles per hour. So, the time it takes is distance/speed = 30 miles / 60 mph = 0.5 hours.
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The total time for the trip is 1 hour + 0.5 hours = 1.5 hours.
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The total distance of the trip is 60 miles.
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The average speed is total distance / total time = 60 miles / 1.5 hours = 40 mph.
So, the average speed for the whole trip is 40 mph.
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