Uniform Motion Problems for Algebra 1

Jane and Peter leave their home traveling opposite directions on a straight road. Peter drives 15 mph faster than Jane. After 3 hours, they are 225 miles apart. What is Jane's rate in miles per hour?

Tags

CCSS.8.EE.C.7B

John left his house at 3:00 pm to drive 60 mph towards Michigan. Phoebe left the same house at 5:00 pm, driving 80 mph in the same direction as John. How long will it take Phoebe to catch up to John?

• 4 hours

• 6 hours

• 8 hours

• 10 hours

Tags

CCSS.HSA.CED.A.1

Jack left home and drove for 2.5 hours. How fast was he driving if his destination was 170 miles away?

• 42 mph

• 68 mph

• 120 mph

• 425 mph

Tags

CCSS.6.EE.B.7

Gloria and Brad each left the same building at the same time to drive home in the same direction. Gloria traveled at a rate of 54 mph and Brad's rate was 42 mph. In how many hours were they 54 miles apart?

• 3 hours

• 3.5 hours

• 4 hours

• 4.5 hours

Ping and Pong (two ducks) are leaving the same pond. Ping flies north at a rate of 52 mph. Pong flies south at a rate of 46 mph and leaves an hour after Ping. How many hours does Ping fly before the two ducks are 493 miles apart?