SOLUTION: When Albert starts walking Kimberly is 60 yards him. They are moving on the same in the same direction and straight path.Albert walks 8 yards for yards every 4 yards that Kimberly

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Question 1043642: When Albert starts walking Kimberly is 60 yards him. They are moving on the same in the same direction and straight path.Albert walks 8 yards for yards every 4 yards that Kimberly walks, Albert walks 3 yards per second.
At these relative rates, in how many seconds will Albert catch up with Kimberly? A) 20 B) 25 C) 30 D) 40
How many yards will Albert have to walk in order to catch up with Kimberly? A)100 B)120 C)240 D) 320
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Since Albert walks 8 yards for yards
every 4 yards that Kimberly walks, Albert's
speed is twice Kimberly's
-----------------------------------
Albert's speed:
+3+ yds/sec
Kimberly's speed:
+1.5+ yds/sec
-----------------
Start a stop watch when Albert leaves
Let +d+ = distance in yds albert walks
until he catches her
Let +t+ = time in seconds on the stop watch
when he catches her
-----------------------
Kimberly's equation:
(1) +d+-+60+=+1.5t+
Albert's equation:
(2) +d+=+3t+
------------------
Substitute (2) into (1)
(1) +3t+-+60+=+1.5t+
(1) +1.5t+=+60+
(1) +t+=+40+
Albert catches her in 40 sec
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(2) +d+=+3t+
(2) +d+=+3%2A40+
(2) +d+=+120+ yds
Albert walks 120 yds in order to catch her