Question 633896
The first shuttle that arrives only has room for one more passenger, so
 Stephanie gets on.
 The next shuttle arrives 10 minutes later and Paula gets on.
 If Stephanie's shuttle travels at a speed of 20 mph and Paula's shuttle travel
 at a speed of 35 mph, how long will it take Paula's shuttle to catch up to
 Stephanie's shuttle?
:
When the 2nd shuttle (35mph) catches the 1st (20mph) they will have traveled
the same distance
:
Change 10 min to {{{1/6}}} hrs
:
Let t = travel time of the 2nd shuttle
then
(t+{{{1/6}}}) = travel time of the 1st shuttle
:
Write a distance equation, dist = speed * time
35t = 20(t+{{{1/6}}})
35t = 20t + {{{20/6}}}
35t - 20t = {{{20/6}}}
15t = {{{20/6}}}
multiply both sides by 6
6(15t) = 20
90t = 20
t = {{{20/90}}}
t = {{{2/9}}} * 60 = 13{{{1/3}}} minutes for the 2nd shuttle to catch the 1st.