Question

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?

Answer 1

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