By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.26 m. If, in the course of an hour, the frog spends 27.5 % of the time resting and 72.5 % of the time performing identical jumps of that maximum length, in a straight line, what is the distance traveled by the frog?
I'm stuck on this. :/
To determine the distance traveled by the frog, you need to calculate the total distance covered during the jumps. Since the frog performs identical jumps of maximum length, you can simply multiply the maximum jump distance by the number of jumps.
To find the number of jumps, you need to calculate the total time spent jumping and resting. In this case, the frog spends 27.5% of the time resting and 72.5% of the time performing jumps.
Let's assume the total time is 1 hour. To find the time spent resting, multiply the total time by 27.5%:
Resting time = 1 hour * 27.5% = 0.275 hour
To find the time spent jumping, multiply the total time by 72.5%:
Jumping time = 1 hour * 72.5% = 0.725 hour
Next, we need to determine the number of jumps the frog can make in 0.725 hour. Since the frog spends the entire jumping time making identical jumps of 1.26 m each, we can calculate the number of jumps by dividing the jumping time by the time it takes to make one jump:
Number of jumps = Jumping time / Time per jump
To find the time per jump, we need to calculate the time it takes to make a single jump. We know that the frog can leap a maximum horizontal distance of 1.26 m, but we don't have the information about how long it takes to make that jump. Without that information, we cannot determine the exact number of jumps made in 0.725 hour.
Therefore, the information provided in the question is incomplete to find the distance traveled by the frog.