Calculating the Length of the Tortoise-Hare Race

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In summary, the problem involves a race between a tortoise and a hare, with the tortoise having a 2-minute head start. The tortoise wins by a shell (0.2m) and the question asks for the length of the race. Using the equations D = v/t and 20 minutes = 120 seconds, the correct solution is D= 0.1t for the tortoise and D-0.2=2(t-120) for the hare. The final answer can be solved from these equations.
  • #1
Anthonyphy2013
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Homework Statement



A speedy tortoise can run with a velocity of 01m/s and a hare can run 2.0m/s . In a race , the hare gives the tortoise a 2- minute head start. The tortoise wins the race by a shell ( 0.2m ) . What was the length of the race ?

Homework Equations


D =v/t , 20minute = 120 sec .

The Attempt at a Solution


D = distance , t = time for tortoise to run , t1 for the time of hare to run
for hare , D-0.2=2(t-120)
and for tortoise , D= 0.1 t
is that corrected ?
 
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  • #2
Anthonyphy2013 said:

Homework Statement



A speedy tortoise can run with a velocity of 01m/s and a hare can run 2.0m/s . In a race , the hare gives the tortoise a 2- minute head start. The tortoise wins the race by a shell ( 0.2m ) . What was the length of the race ?

Homework Equations


D =v/t , 20minute = 120 sec .

The Attempt at a Solution


D = distance , t = time for tortoise to run , t1 for the time of hare to run
for hare , D-0.2=2(t-120)
and for tortoise , D= 0.1 t
is that corrected ?

It is correct. Solve.


ehild
 
  • #3
thanks so much
 

Related to Calculating the Length of the Tortoise-Hare Race

1. What is the Tortoise-Hare Race?

The Tortoise-Hare Race is a famous fable that tells the story of a race between a slow-moving tortoise and a fast-running hare.

2. Who are the main characters in the Tortoise-Hare Race?

The main characters in the Tortoise-Hare Race are the tortoise and the hare. The tortoise represents slow and steady progress, while the hare represents overconfidence and arrogance.

3. Who won the Tortoise-Hare Race?

In most versions of the fable, the tortoise wins the race. This is meant to teach the lesson that slow and steady progress can lead to success, while overconfidence and arrogance can lead to failure.

4. What is the moral of the Tortoise-Hare Race?

The moral of the Tortoise-Hare Race is to not underestimate the power of perseverance and determination. It also teaches the lesson that overconfidence and arrogance can lead to downfall.

5. What is the significance of the Tortoise-Hare Race?

The Tortoise-Hare Race is a popular fable that has been told for centuries. It is often used to teach children about the importance of hard work, patience, and humility. It also serves as a reminder to never give up, even when facing seemingly impossible challenges.

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