5,206 views
43 votes
43 votes
4. At 1:00 p.m., Laney leaves her house and drives north to the beach. She arrives at 4:30

p.m.
Also leaving at 1:00 p.m., her brother Paul leaves her house and drives south to a state
park. He arrives at 3:00 p.m. The driving distance from the beach to the state park is 286
mi. Laney and Paul drove at the same speed.
What was their speed?

User Pogo
by
2.9k points

1 Answer

16 votes
16 votes

Answer:

52 mph

Explanation:

Distance = rate x time. We know the distance and we know the time. We are looking for the rate.

The rate and time of Laney + the rate and time of Paul gives us the total distance of 26.


(7)/(2) x + 2x = 286 (3
(1)/(2) is the same as
(7)/(2))


(11)/(2) x = 286 (3 1/2 + 2 = 5 1/2 or
(11)/(2)) Multiply both sides by
(2)/(11)

(
(2)/(11))
(11)/(2) x = 286
((2)/(11))

x =
(572)/(11)

x = 52

User Asussex
by
3.0k points
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