Question

. A tortoise and a hare are having a race. The tortoise moves at 4 miles per hour. The hare travels at 10 miles per

Answer 1

Answer:

a. hare won the race.

b. race would be 33.33 miles long to be tie.

Step-by-step explanation:

The speed of tortoise = 4 miles per hour.

and the speed of hare = 10 miles per hour

a. If the race is 40 miles long.

Tortoise complete the race = $\frac{40}{4}$

                                             = 10 hours

Hare complete the race = $\frac{40}{10}$

                                        = 4 hours

Hare took a 5-hour nap so his race completed = 4 + 5 = 9 hours

Therefore, Hare won the race.

b. Let the distance of race = x miles

Time taken by tortoise will be = $\frac{distance}{speed}$

                                                  = $\frac{x}{4}$ hours

Time taken by hare to cover x miles and 5 hours nap = $(\frac{x}{10}+5)$

If time take by both the two creatures are same.

$\frac{x}{10}+5$ = $\frac{x}{4}$

$\frac{x}{4}$ - $\frac{x}{10}$ = 5

$\frac{5x-2x}{20}$ = 5

$\frac{3x}{20}$ = 5

3x = 100

x = $\frac{100}{3}$

x = 33.33 miles

The race would be 33.33 miles to be a tie.