Distance rate time word problems

A train left for Houston, and 5 hours later, a car traveling 74 mph tried catching up to the train. After 8 hours, the car caught up. What was the train's average speed?

• 44.54 mph

• 45.54 mph

• 54.45 mph

• 65.30 mph

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300 mph. Given that the first trip took two hours longer, how long was the return trip?

• 28 hours

• 56 hours

• 1.07 hours

• 280 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Keith left the city traveling at 81 mph, while, at the same time, Benny left the city going the opposite direction at a speed of 48 mph. Find the time Keith traveled before the two were 117 miles apart.

• 9 hours

• 1.10 hours

• 0.91 hours

• 1.4 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A plane set off to Paris at a speed of 213 mph. On the return flight of 10 hours, the plane cruised at 270 mph. How many hours long was the flight to Paris?

• 12.68 hours

• 1.27 hours

• 12 hours

• 10 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Mike left the city for vacation. Tom left 4 hours later going 44 mph faster to catch up. After 3 hours Tom caught up. What was Mike's average speed?

• 18.9 mph

• 45 mph

• 33 mph

• 30 mph

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

-4x-2y=-12
4x+8y=-24

• (5,6)
• (6,-6)
• (6,-2)
• (4,-3)

Tags

CCSS.HSA.REI.C.6

4x+8y=20
-4x+2y=-30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

-6x+5y=1
6x+4y=-10

• (1,-1)
• (0,-1)
• (1,1)
• (-1,-1)

Tags

CCSS.HSA.REI.C.6

5x - 4y  =-16
x+ 2y = -6

• (-4,-1)
• (5,-1)
• (-5,-1)
• (4,1)

Tags

CCSS.HSA.REI.C.6

7x+4y =12 
x + 2y = -4

• (-4,4)
• (4,4)
• (4,-4)
• (-4,-4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10