Algebra 2 Distance
CH 1 Word Problems
Date___________________________________
Classwork / Homework
Day 20
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1) A cattle train left Seoul and traveled toward
Johannesburg at an average speed of 45 km/h.
Some time later a passenger train left traveling
in the opposite direction with an average speed
of 50 km/h. After the cattle train had traveled
for 19 hours the trains were 1805 km apart.
How long did the passenger train travel?
2) Mike left the hospital and traveled toward his
friend's house at an average speed of 65 km/h.
Mary left some time later traveling in the
opposite direction with an average speed of 36
km/h. After Mike had traveled for three hours
they were 231 km apart. Find the number of
hours Mary traveled.
3) A cruise ship left Port 43 and traveled south at
an average speed of 30 km/h. Some time later
a submarine left traveling in the opposite
direction with an average speed of 30 km/h.
After the cruise ship had traveled for six hours
the vessels were 360 km apart. How long did
the submarine travel?
4) Sarawong left the science museum and traveled
toward his friend's house at an average speed
of 60 mph. John left some time later traveling
in the opposite direction with an average speed
of 80 mph. After Sarawong had traveled for
two hours they were 280 mi. apart. How long
did John travel?
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Worksheet by Kuta Software LLC
5) Kristin left the science museum and traveled
toward the lake at an average speed of 64.6
mph. Pranav left one hour later and traveled in
the opposite direction with an average speed of
74.6 mph. How long does Pranav need to
travel before they are 760.6 mi. apart?
6) Shayna left the hardware store and drove
toward the ferry office at an average speed of
41 mph. Sarawong left 1.4 hours later and
drove in the opposite direction with an average
speed of 46.5 mph. Find the number of hours
Sarawong needs to drive before they are 302.4
mi. apart.
7) An aircraft carrier left the Azores and traveled
east at an average speed of 11 km/h. A
container ship left 3.4 hours later and traveled
in the opposite direction with an average speed
of 5.8 km/h. Find the number of hours the
container ship needs to travel before the ships
are 62.6 km apart.
8) Ndiba left the hospital and drove toward the
lake at an average speed of 65.3 mph.
Abhasra left 0.5 hours later and drove in the
opposite direction with an average speed of
60.2 mph. Find the number of hours Abhasra
needs to drive before they are 346.4 mi. apart.
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Worksheet by Kuta Software LLC
9) An Air Force plane left the airport three hours
before a jet. The planes flew in opposite
directions. The jet flew at 310 km/h for seven
hours. After this time the planes were 4470 km
apart. What was the Air Force plane's speed?
10) Adam left James' house at the same time as
Shreya. They traveled in opposite directions.
Shreya traveled at a speed of 40 mph. After
one hour they were 60 mi. apart. How fast did
Adam travel?
11) A diesel train left Abuja five hours before a
freight train. The trains traveled in opposite
directions. The freight train traveled at 60 km/h
for one hour. After this time the trains were
360 km apart. Find the diesel train's speed.
12) A jet left Rome four hours before a passenger
plane. The planes flew in opposite directions.
The passenger plane flew at 430 km/h for three
hours. After this time the planes were 4755 km
apart. Find the jet's speed.
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Worksheet by Kuta Software LLC
13) Eugene and Trevon left the hospital at the same
time. They drove in opposite directions.
Trevon drove 0 mph slower than Eugene.
After four hours they were 560 mi. apart. Find
Eugene's speed.
14) An aircraft carrier and a fishing boat left Diego
Garcia at the same time. The vessels traveled
in opposite directions. The fishing boat
traveled 20 mph faster than the aircraft carrier.
After seven hours they were 210 mi. apart.
Find the aircraft carrier's speed.
15) A passenger train left Seoul traveling west one
hour before a cattle train. The cattle train
traveled in the opposite direction going 0 mph
slower then the passenger train for six hours
after which time the trains were 910 mi. apart.
How fast did the passenger train travel?
16) A container ship left the Dania Pier traveling
west one hour before an aircraft carrier. The
aircraft carrier traveled in the opposite direction
going 2 mph faster then the container ship for
11 hours after which time the vessels were 459
mi. apart. How fast did the container ship
travel?
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Worksheet by Kuta Software LLC