SOLUTION: A man cycle down to a village at 18km/h and returns at 12km/p. If he takes 6.25 hours for double journey, how far dies he ride altogether.

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Question 914375: A man cycle down to a village at 18km/h and returns at 12km/p. If he takes 6.25 hours for double journey, how far dies he ride altogether.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the one-way distance
in km to the village
-------------------
Going to the village:
Let +t+ = time in hrs to go to the village
-------------------------------------
+d+=+18t+
Coming back from village:
+d+=+12%2A%28+6.25+-+t+%29+
-----------------------
By substitution:
+18t+=+12%2A%28+6.25+-+t+%29+
+18t+=+75+-+12t+
+30t+=+75+
+t+=+2.5+
and
+d+=+18t+
+d+=+18%2A2.5+
+d+=+45+
+2d+=+90+
Total distance traveled is 90 km
check:
+d+=+12%2A%28+6.25+-+t+%29+
+45+=+12%2A%28+6.25+-+2.5+%29+
+45+=+12%2A3.75+
+45+=+45+
OK