SOLUTION: Jeff and Carla Cole are driving separately from San Luis Obispo,California, to the north shore of Lake Tahoe,a distance of 425 miles. Jeff leaves San Luis Obispo at 11:00 A.M. and

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: Jeff and Carla Cole are driving separately from San Luis Obispo,California, to the north shore of Lake Tahoe,a distance of 425 miles. Jeff leaves San Luis Obispo at 11:00 A.M. and      Log On

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Question 29831: Jeff and Carla Cole are driving separately from San Luis Obispo,California, to the north shore of Lake Tahoe,a distance of 425 miles. Jeff leaves San Luis Obispo at 11:00 A.M. and averages 55 miles per hour on the drive. Carla leaves later,at 1:00 P.M.,but averages 65 miles per hour. Which person arrives in Lake Tahoe first?
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
First,find out how long it takes Jeff and Carla to drive from SLO to Lake Tahoe using: distance (d) = rate (r) X time (t).
d+=+rt Rewrite as:
t+=+d%2Fr
For Jeff:
t+=+425%2F55
t+=+7.73hrs.
For Carla:
t+=+425%2F65
t+=+6.54hrs.
Next, add the driving times to the starting times to see who arrives first.
It simplifies things a bit if you use the 24-hour clock.
11:00 AM = 11.00 hours
1:00 PM = 13.00 hours.
For Jeff, arrival time is:
11.00 + 7.73 = 18.73 hours. This is 6:44 PM
For Carla, arrival time is:
13.00 + 6.54 = 19.54 hours. This is 7:32 PM
Jeff arrives in Lake Tahoe first.