SOLUTION: A woman drove part of a 185mi trip at 50mi/h and the rest at 55mi/h. Find the distance she traveled at 50mi/h if her total driving time was 3h and 30min

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A woman drove part of a 185mi trip at 50mi/h and the rest at 55mi/h. Find the distance she traveled at 50mi/h if her total driving time was 3h and 30min      Log On

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Question 768990: A woman drove part of a 185mi trip at 50mi/h and the rest at 55mi/h. Find the distance she traveled at 50mi/h if her total driving time was 3h and 30min
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d%5B1%5D+ = distance she traveled at +50+ mi/hr
+d%5B2%5D+=+185+-+d%5B1%5D+ = distance she traveled at +55+ mi/hr
+d%5B1%5D+%2F+50+%2B+d%5B2%5D+%2F+55+=+3.5+
+d%5B1%5D+%2F+50+%2B+%28+185+-+d%5B1%5D+%29+%2F+55+=+3.5+
Multiply both sides by +50%2A55+
+55d%5B1%5D+%2B+50%2A%28+185+-+d%5B1%5D+%29+=+3.5%2A50%2A55+
+55d%5B1%5D+%2B+9250+-+50d%5B1%5D+=+9625+
+5d%5B1%5D+=+375+
+d%5B1%5D+=+75+
and
+185+-+75+=+110+
She traveled 75 mi at 50 mi/hr
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check:
+d%5B1%5D+%2F+50+%2B+d%5B2%5D+%2F+55+=+3.5+
+75+%2F+50+%2B+110+%2F+55+=+3.5+
+3%2F2+%2B+2+=+3.5+
+3.5+=+3.5+
OK