SOLUTION: • In a trip a person went one-third of the way by bus, 10 miles by foot and one sixth of the way by horse, How long was the trip?

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Question 667136: • In a trip a person went one-third of the way by bus, 10 miles by foot and one sixth of the way by horse, How long was the trip?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the length of the trip in miles +d+
One-third of the way is +d%2F3+
One-sixth of the way is +d%2F6+
given:
+d%2F3+%2B+10+%2B+d%2F6+=+d+
Multiply both sides by +6+
+2d+%2B+60+%2B+d+=+6d+
+3d+=+60+
+d+=+20+
The trip was 20 miles
check:
+d%2F3+%2B+10+%2B+d%2F6+=+d+
+20%2F3+%2B+10+%2B+20%2F6+=+20+
+6+%2B+2%2F3+%2B+10+%2B+3+%2B+1%2F3+=+20+
+10+%2B+6+%2B+3+%2B+1+=+20+
+20+=+20+
OK