An aircraft carrier made a trip to Guam and
back. The trip there took three hours and
the trip back took four hours. It averaged 6
km/h on the return trip. Find the average
speed of the trip there.
8 km/h
100
−4x-2y=-12 4x+8y=-24
(6,-6)
100
b^2− 4b+ 4 = 0
{2}
100
9x− 7 = −7
{0}
200
2n^5
quintic monomial
200
A cattle train left Miami and traveled toward
New York. 14 hours later a diesel train left
traveling at 45 km/h in an effort to catch up
to the cattle train. After traveling for four
hours the diesel train finally caught up.
What was the cattle train's average speed?
10 km/h
200
3x− 2y= 2 5x− 5y= 10
(−2,−4)
200
m^2− 5m− 14 = 0
{7,−2}
200
v/3+ 9/3= 8
{15}
300
9r^6-8
sixth degree binomial
300
Jose left the White House and drove toward
the recycling plant at an average speed of 40
km/h. Rob left some time later driving in
the same direction at an average speed of 48
km/h. After driving for five hours Rob
caught up with Jose. How long did Jose
drive before Rob caught up?
6 hours
300
x−y= 11 2x+y= 19
(10,−1)
300
2k^2+ 9k= −7
{−1,−7/2}
300
p− 1 =5p+ 3p− 8
{1}
400
-4 − 2a^2+8a
quadratic trinomial
400
A cargo plane flew to the maintenance
facility and back. It took one hour less time
to get there than it did to get back. The
average speed on the trip there was 220
mph. The average speed on the way back
was 200 mph. How many hours did the trip
there take?
10 hours
400
3 + 2x−y= 0 −3 − 7y= 10x
(−1,1)
400
k^2− 31 − 2k=−6 − 3k^2− 2k
{5/2,−5/2}
400
24a− 22 =−4(1 − 6a)
No solution.
500
7n^5+10n^4-3n+10n^7
seventh degree polynomial with four terms
500
Kali left school and traveled toward her
friend's house at an average speed of 40
km/h. Matt left one hour later and traveled
in the opposite direction with an average
speed of 50 km/h. Find the number of hours
Matt needs to travel before they are 400 km
apart.