Motion Problems

1. At 10 A.M. two cars started traveling toward

each other from towns 287 miles apart. They

passed each other at 1:30 P.M. If the rate of the

faster car exceeded the rate of the slower car by

6 miles per hour, find the rate, in miles per

hour, of the faster car.

• (A) 38

• (B) 40

• (C) 44

• (D) 48

• (E) 50

2. A motorist covers 350 miles in 8 hours. Before

noon he averages 50 miles per hour, but after

noon he averages only 40 miles per hour. At

what time did he leave?

• (A) 7 A.M.

• (B) 8 A.M.

• (C) 9 A.M.

• (D) 10 A.M.

• (E) 11 A.M

3. At 3 P.M. a plane left Kennedy Airport for Los

Angeles traveling at 600 m.p.h. At 3:30 P.M.

another plane left the same airport on the same

route traveling at 650 m.p.h. At what time did

the second plane overtake the first?

• (A) 5:15 P.M.

• (B) 6:45 P.M.

• (C) 6:50 P.M.

• (D) 7:15 P.M.

• (E) 9:30 P.M.

4. Joe left home at 10 A.M. and walked out into

the country at 4 miles per hour. He returned on

the same road at 2 miles per hour. If he arrived

home at 4 P.M., how many miles into the

country did he walk?

• (A) 6

• (B) 8

• (C) 10

• (D) 11

• (E) 12

5. Two cars leave a restaurant at the same time

and proceed in the same direction along the

same route. One car averages 36 miles per hour

and the other 31 miles per hour. In how many

hours will the faster car be 30 miles ahead of

the slower car?

 

• (A) 3

• (B) 3.5

• (C) 4

• (D) 6

• (E) 6.25