SOLUTION: Hamma is training by running to a post across a field and then back. She runs the outward leg at 7m/s and the return leg at 5m/s.She takes 15.4 s.Find the distance to the post

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Question 631703: Hamma is training by running to a post across a field and then back. She runs the outward leg at 7m/s and the return leg at 5m/s.She takes 15.4 s.Find the distance to the post
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the distance in meters +d+
Call the outward time in sec +t+
+d+=+7t+
+d+=+5+%2A+%2815.4+-+t%29++
-----------------
By substitution
+7t+=+5%2A%28+15.4+-+t+%29+
+7t+=+77+-+5t+
+12t+=+77+
+t+=+77%2F12+ sec
+t+=+6.4166+ sec
and
+d+=+7t+
+d+=+7%2A%2877%2F12%29+
+d+=+44.916+ m
check answer:
+44.916+=+5+%2A+%2815.4+-+t%29++
+44.916+=+77+-+5t+
+5t+=+77+-+44.916+
+5t+=+32.08333+
+t+=+6.4166+
OK