By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.49 m. If, in the course of an hour, the frog spends 32.5 % of the time resting and 67.5 % of the time performing identical jumps of that maximum length, in a straight line, what is the distance traveled by the frog?
To calculate the distance traveled by the frog, you can use the formula:
Distance = Number of Jumps * Length of Each Jump
First, we need to find the number of jumps the frog makes in an hour. Since the frog spends 67.5% of the time performing jumps, the number of jumps can be calculated using the formula:
Number of Jumps = Total Time * Percentage of Time Spent Jumping
Next, we need to calculate the total time the frog spends in an hour. Assuming an hour has 60 minutes, the total time can be calculated using the formula:
Total Time = 60 minutes
Now, let's calculate the number of jumps:
Number of Jumps = 60 minutes * 67.5% = 60 * 0.675 = 40.5 jumps
Since we cannot have a fraction of a jump, we need to round down to the nearest whole number. Therefore, the frog makes 40 jumps.
Finally, we can calculate the distance traveled by the frog using the formula:
Distance = Number of Jumps * Length of Each Jump
Distance = 40 jumps * 1.49 m/jump = 59.6 meters
Therefore, the frog travels a distance of 59.6 meters.