Question

The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 259ft per hour. The tortoise takes 8hrs longer than the hare to finish. a. Let t represent the unknown time in hours that it took the hare to complete the race,

Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?

Answer 1

Explanation:

1). Let the distance of the race = x feet

Speed of hare = 250 feet per hour

If it takes the time to complete the race = t hours

Since, Speed =
`\frac{\text{Distance}}{\text{Time}}`

250 =
`(x)/(t)`

t =
`(x)/(250)`

2). Speed of tortoise = 50 feet per hour

Time taken by the tortoise
`t_1=(x)/(50)`

So the equations will be,

t =
`(x)/(250)` -------(1)

`t_1=(x)/(50)` -------(2)

3). Since, tortoise took 8 hours longer than hare,

`t_1` - t = 8

`(x)/(50)- (x)/(250)=8`

`((5-1)x)/(250)=8`

`(4x)/(250)=8`

x =
`(250* 8)/(4)`

x = 500 feet