Answer: the rate of 1.25 miles in 4 seconds is significantly greater than the rate of 1 3/16 miles in 1 hour and 55 seconds.
Explanation:
To determine which rate is greater, let's first calculate the rates for both scenarios:
Rate for 1.25 miles in 4 seconds:
Rate = Distance / Time
Rate = 1.25 miles / 4 seconds = 0.3125 miles per second
Rate for 1 3/16 miles in 1 hour and 55 seconds:
First, convert 1 hour and 55 seconds into seconds:
1 hour = 60 minutes = 60 minutes * 60 seconds/minute = 3600 seconds
Total time = 3600 seconds + 55 seconds = 3655 seconds
Rate = Distance / Time
Rate = (1 3/16) miles / 3655 seconds
To calculate this, you need to convert 1 3/16 miles into a decimal. It's approximately 1.1875 miles.
Rate ≈ 1.1875 miles / 3655 seconds ≈ 0.0003246 miles per second
Now, let's compare the two rates:
Rate for 1.25 miles in 4 seconds ≈ 0.3125 miles per second
Rate for 1 3/16 miles in 1 hour and 55 seconds ≈ 0.0003246 miles per second
Clearly, the rate of 1.25 miles in 4 seconds is significantly greater than the rate of 1 3/16 miles in 1 hour and 55 seconds.