How many fewer minutes would it take the driver to travel a distance of 10 miles at a speed of 65 miles per hour than at a speed of 50 miles per hour? Round your answer to the nearest minute.
Distance = rate times time
10 = 65t
10 = 50t
Solve for t, convert to minutes and compare.
To determine the difference in time taken to travel a distance of 10 miles at two different speeds, we need to calculate the time taken at each speed separately and then find the difference.
First, let's calculate the time taken to travel 10 miles at a speed of 65 miles per hour. We can use the formula: time = distance / speed.
Time taken at 65 mph = 10 miles / 65 miles per hour = 0.154 hours.
Since we need to round the answer to the nearest minute, we convert 0.154 hours into minutes by multiplying by 60 (since there are 60 minutes in an hour):
0.154 hours * 60 minutes/hour = 9.24 minutes.
Therefore, it would take approximately 9.24 minutes to travel 10 miles at a speed of 65 miles per hour.
Now, let's calculate the time taken to travel the same distance of 10 miles at a speed of 50 miles per hour:
Time taken at 50 mph = 10 miles / 50 miles per hour = 0.2 hours.
Converting 0.2 hours into minutes:
0.2 hours * 60 minutes/hour = 12 minutes.
Therefore, it would take approximately 12 minutes to travel 10 miles at a speed of 50 miles per hour.
To find the difference:
12 minutes (at 50 mph) - 9.24 minutes (at 65 mph) = 2.76 minutes.
Rounding this to the nearest minute, we get 3 minutes.
Hence, the driver would take approximately 3 minutes fewer to travel a distance of 10 miles at a speed of 65 miles per hour than at a speed of 50 miles per hour.