Phil is making a 40-kilometer canoe trip. If he travels at 30 kilometers per hour for the first 10 kilometers, and then at 15 kilometers per hour for the rest of the trip, how many minutes more will it take him then if he travels the entire trip at 20 kilometers per hour?
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To solve this problem, we need to calculate the time it takes for Phil to complete the canoe trip at each speed, and then compare the difference in time.
First, let's calculate the time it takes for Phil to travel the first 10 kilometers at a speed of 30 kilometers per hour. We can use the formula: time = distance / speed.
Distance for the first 10 kilometers = 10 kilometers
Speed for the first 10 kilometers = 30 kilometers per hour
Time for the first 10 kilometers = 10 kilometers / 30 kilometers per hour
Time for the first 10 kilometers = 1/3 hour
Next, let's calculate the time it takes for Phil to travel the remaining 30 kilometers at a speed of 15 kilometers per hour.
Distance for the remaining 30 kilometers = 30 kilometers
Speed for the remaining 30 kilometers = 15 kilometers per hour
Time for the remaining 30 kilometers = 30 kilometers / 15 kilometers per hour
Time for the remaining 30 kilometers = 2 hours
Adding the time for the first 10 kilometers and the time for the remaining 30 kilometers:
Total time for Phil's trip = 1/3 hour + 2 hours
Total time for Phil's trip = 2 1/3 hours
Now, let's calculate the time it would take for Phil to travel the entire trip at a speed of 20 kilometers per hour.
Distance for the entire trip = 40 kilometers
Speed for the entire trip = 20 kilometers per hour
Time for the entire trip = 40 kilometers / 20 kilometers per hour
Time for the entire trip = 2 hours
The difference in time can be calculated by subtracting the time it would take for Phil to travel the entire trip at 20 kilometers per hour from the total time for Phil's actual trip:
Difference in time = Total time for Phil's trip - Time for the entire trip at 20 kilometers per hour
Difference in time = 2 1/3 hours - 2 hours
Difference in time = 1/3 hour
Now, to convert the time difference to minutes, we multiply it by 60 (because there are 60 minutes in an hour):
Difference in minutes = Difference in time * 60
Difference in minutes = 1/3 hour * 60 minutes/hour
Difference in minutes = 20 minutes
Therefore, it will take Phil 20 minutes more to complete the canoe trip at the two different speeds.