the tortoise running 8.8 foot/min, the rabbit gives him 20 min and chases after with the speed 440 ft/min. how many feet the rabbit has to run to catch up?
here
d = r · t
d = 2t (tortoise)
d + 180 = 8t (rabbit)
d = 2t
d = 8t - 180
2t = 8t - 180
Can you solve for t and answer?
how did you get the numbers? 2t and 180 and 8?
ok fine here
Let x = number of minutes run by the tortoise since the hare started running
Distance = (Rate)(Time)
Distance (in feet) of tortoise since the hare started running = 180 + 2x
Distance (in feet) run by the hare in x minutes = 8x
The hare catches up to the tortoise when 8x = 180 + 2x
6x = 180
x = 30 minutes
The hare catches up to the tortoise in 30 minutes ( Half an hour).
are you sure? it seems a lot! in a half hour the rabbit would have covered 30*440 ft that is 13200 ft, while the tortoise runs 30 min (or 50 if we count the bunnys nap) 30 min*8.8 feet =264 feet (or 8.8*50 min = 440 feet)... the rabbit will be over the hill by then
OMG just trust me
look at the numbers, the rabbit cannot run for a half hour, that is waaaay to much!
The method was good, though, thank you, it showed me the way!! the rabbit will run 0.4081632 minutes or 179.59 feet when catches up! thank you!
turtle runs 8.8*20 min= 176 feet while bunny napping, so
440*x =8.8x +176
x=0.4081632 (min)
thank you again! it helped a lot
your welcome, i told you to trust me
To find out how many feet the rabbit has to run to catch up to the tortoise, we can break down the problem into steps:
1. Determine how far the tortoise has traveled during the 20 minutes.
The tortoise's speed is given as 8.8 feet per minute, so in 20 minutes, the tortoise will have covered a distance of:
8.8 ft/min * 20 min = 176 feet
2. Calculate the remaining distance that the rabbit needs to cover to catch up to the tortoise.
The rabbit is initially 176 feet behind the tortoise, and it moves at a speed of 440 feet per minute. Assuming it takes the rabbit x minutes to catch up, the remaining distance can be calculated as:
440 ft/min * x min = 176 ft
Now, we can solve the equation for x to find the time it takes for the rabbit to catch up.
Dividing both sides of the equation by 440 ft/min, we get:
x min = 176 ft / 440 ft/min
Calculating this:
x min = 0.4 min
Finally, we can find the distance the rabbit has to run to catch up by multiplying the time it took by its speed:
440 ft/min * 0.4 min = 176 ft
Therefore, the rabbit needs to run 176 feet to catch up to the tortoise.