A turtle and a rabbit are in a race to see who is first to reach a point 100 feet away. The turtle travels at a constant speed of 20 feet per minute for the entire 100 feet. The rabbit travels at a constant speed of 40 feet per minute for the first 50 feet, stops for 3 minutes, and then continues at a constant speed of 40 feet per minute for the last 50 feet.
Determine which animal won the race and by how much time.

Question

A turtle and a rabbit are in a race to see who is first to reach a point 100 feet away. The turtle travels at a constant speed of 20 feet per minute for the entire 100 feet. The rabbit travels at a constant speed of 40 feet per minute for the first 50 feet, stops for 3 minutes, and then continues at a constant speed of 40 feet per minute for the last 50 feet.
Determine which animal won the race and by how much time.

ujjwal · Answer

can you calculate the time taken by turtle to cover the whole distance of 100 m?

anonymous · Answer

i dont know what you mean...

ujjwal · Answer

Can you give formula for speed?

anonymous · Answer

as in do i know it or can i use it

ujjwal · Answer

both

anonymous · Answer

no i dont know and i can use it as long as i get the right answer !

callisto · Answer

For speed, it's a rate... the formula is
$$speed = \frac{distance \ travelled }{time}$$
Got it so far?

anonymous · Answer

im confused about the rabbit stopping for 3 minutes

callisto · Answer

Can we do it step by step?

anonymous · Answer

sure!

callisto · Answer

First, do you understand that formula?

anonymous · Answer

yes

callisto · Answer

Now, consider turtle first,
''constant speed of 20 feet per minute for the entire 100 feet.''
So, speed = 20 ft/min  and the distance travelled = 100 feet
By applying $$speed = \frac{distance \ travelled}{time}$$Can you calculate the time turtle used to finish the race?

anonymous · Answer

5 mins?

callisto · Answer

Yes

Now, consider rabbit~
There are 3 stages
Stage 1:  constant speed of 40 feet per minute for the first 50 feet
Stage 2:  stops for 3 minutes
Stage 3:  constant speed of 40 feet per minute for the last 50 feet.

Consider stage 1,
How much time did it spend?

anonymous · Answer

1.25

anonymous · Answer

do you add 1.25+1.25+3

callisto · Answer

Yes, for the time taken of rabbit in the race

anonymous · Answer

so the rabbit took 5.50 mins and the turtle took 5 mins. Is the answer the turtle and by 50 seconds ?

anonymous · Answer

.50 *

callisto · Answer

Not really...
5.5 minutes = 5 minutes 30 seconds

anonymous · Answer

oops ! so the answer is the turtle by 30 seconds

callisto · Answer

lol It should be turtle won the race by 30 seconds

anonymous · Answer

okiedokie thank you !! you're awesome!  =)

callisto · Answer

welcome :)

callisto · Answer

Determine which animal won the race and by how much time.
I suppose you need to write the difference of the turtle's time and rabbit's time...

anonymous · Answer

sorry that didnt even make sense what i wrote ! how did you know that .50 is 30 seconds

callisto · Answer

1 minute = 60 seconds.
0.5 minute = 0.5 (60 seconds) = 30 seconds

anonymous · Answer

wow im stupid ! thanks again !

callisto · Answer

Welcome~ And you're not stupid!!!!