Question 443214
The Smith family and the Jones family are next-door neighbors and are driving to Las Vegas in separate cars for vacation. They are traveling on the same road in
 the same direction. The Smith family leaves at 8:00am and drives 70mph.
 Because of a luggage malfunction, the Jones family leaves at 10:00 am and drives
 20% faster than the Smith family in an attempt to catch them.
;
A. How long will it take the Jones family to catch the Smith family?
Let t = travel time of Jones
then
(t+2) = travel time of Smith
:
Find Jones' speed: 1.2(70) = 84 mph
: 
When J catches S, they will have traveled the same distance
write a distance equation Dist = speed * time
:
84t = 70(t+2)
84t = 70t + 140
84t - 70t = 140
14t = 140
t = {{{140/14}}}
t = 10 hrs is Jones travel time
:
B.At what time of day will this occur?
10 Am + 10 hrs = 8 Pm
:
C. How far from the starting point will they be when the Jones family catches the Smith Family? 
84 * 10 = 840 mi
:
Confirm this by finding the dist of the Smiths
70 * 12 = 840 mi