Posted by Jim on Sunday, February 6, 2011 at 3:07am.
Suzi drove home at 69 mph, but her brother Jim, who left at the same time, could drive at only 41 mph. When Suzi arrived, Jim still had 112 miles to go. How far did Suzi drive?

Algebra  jai, Sunday, February 6, 2011 at 5:40am
recall:
speed (v) is distance (d) travelled over a certain period of time (t), or
v = d/t
since Suzi is faster that Jim given their speeds, we can get the difference of their speeds:
69  41 = 28 mph
*this 28 mph only means that after 1 hour, the gap or distance between them is 28 miles, since v = d/t > 28 = d/1 > d = 28)
in the problem, it's said that the distance between them when Suzi arrived home is 112,, therefore:
v = d/t
28 = 112/t
t = 4 hours
since they left at the same time, Suzi drove for 4 hours, therefore:
v = d/t
69 = d/4
d = ?
now solve for d.
hope this helps~ :)

Algebra  helper, Sunday, February 6, 2011 at 9:26am
D = RT, T = D/R
69 = Suzi Rate
T = Suzi Time
69T = Suzi Distance
41 = Jim Rate
T + 2.73 = Jim Time (T = 112/41 = 2.73)
41(T + 2.73) = Jim Distance
Since distances are equal
69T = 41(T + 2.73)
69T = 41T + 111.93
28T = 111.93
T = 3.99 = 4
69T = Suzi Distance
69(4) = 276 miles
Answer This Question
Related Questions
 Math  distance problem suzi drove home at 60mph,but her brother jim,who left at...
 distance problem  Suiz drove home at 60mph, but her brother jim, who left at ...
 algebra  Allison drove home at 66 mph, but her brother Austin, who left at the ...
 College Algebra  Allison drove home at 65 mph, but her brother Austin, who left...
 College algebra  Allison drove home at 58 mph, but her brother Austin, who left...
 Algebra  Allison drove home at 68 mph but her brother who left at the same time...
 Physic Help  In heavy rushhour traffic in Atlanta, you drive in a straight ...
 Math  Marco and Suzi each multiplied 0.721 x100. Marco got 7.21 for his product...
 algebra  Jim was driving to an interview 72 mi away. On the first leg of the ...
 Algebra  Molly left home and drove toward the ferry office at an average speed ...
More Related Questions