the tortoise can run with a speed of 0.1m/s and the hare can run with a speed of 2m/s. They start their race at the same time, but the hare, feeling confident, stops along the way for a two minute nap, and the tortoise wins by the length of his shell,0.2m.
How much time did the race take?
How long was the race?
Please answer right away! Been stuck on it for a long time
To figure out how much time the race took, we need to determine the time it took for both the tortoise and hare to finish the race.
First, let's calculate how much time the hare spent sleeping. We know that the hare's speed is 2m/s. The distance the hare traveled during the nap is given by the formula: distance = speed × time. The distance is 0.2m, so we have:
0.2m = 2m/s × time
Solving for time, we get:
time = 0.2m / 2m/s = 0.1s
Therefore, the hare spent 0.1 seconds sleeping.
Next, let's find the time it took for the tortoise to finish the race. We know the tortoise's speed is 0.1m/s, and it ran the entire distance without stopping. We can use the formula distance = speed × time to determine the time it took for the tortoise to cover the distance of 0.2m:
0.2m = 0.1m/s × time
Solving for time, we get:
time = 0.2m / 0.1m/s = 2s
Therefore, the tortoise took 2 seconds to finish the race.
Since the hare stopped for 0.1 seconds and the tortoise took 2 seconds to finish, the total time for the race is the sum of these times:
Total time = 0.1s + 2s = 2.1 seconds
To determine the length of the race, we know the tortoise won by the length of its shell, which is 0.2m. Therefore, the length of the race is equal to the distance covered by the tortoise:
Length of the race = 0.2m
So, the race took 2.1 seconds and the length of the race was 0.2 meters.
the time taken by the tortoise is t seconds
So, the time used by the hare for running is t-120 seconds
The tortoise ran 0.2m farther, so since distance = speed * time,
0.1t = 2(t-120)+0.2
Now just solve for t, and then you can get the distance.