How Do You Solve the Tortoise & Hare Race Problem?

[aznbaby]

Homework Statement

A tortoise can run with a speed of 0.10 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 5.0 minutes. The tortoise wins by a shell (40 cm).
(a) How long does the race take? (s)
(b) What is the length of the race? (m)

Homework Equations

d= distance
s= speed
t= time
subscripts;
h=hare
t=tortoise

d_h=s_h x t_h
d_t=s_t x t_t

The Attempt at a Solution

i have these two equations:

d_t-0.40=(20)(0.10)(t-300)

d=0.10t

how do i set them equal to each other
or how do i solve them? i have no clue...

 

[tiny-tim]

Welcome to PF!

Hi aznbaby! Welcome to PF!

i have these two equations:

d_t-0.40=(20)(0.10)(t-300)

d=0.10t

how do i set them equal to each other
or how do i solve them? i have no clue...

(shouldn't the second equation also be d_t?)

Just put the two d's equal …

which gives you t = … ? ​

(though personally I'd have defined d_h = (20)(0.10)(t-300), and then put d_h = d_t - 0.40)