SOLUTION: Bob wants to hike a 60-mile trail in the country. He could hike 10 mph for the first 2 hours and 30 mph the rest of the way or go 20 mph the whole way. Which is faster? By how much

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Bob wants to hike a 60-mile trail in the country. He could hike 10 mph for the first 2 hours and 30 mph the rest of the way or go 20 mph the whole way. Which is faster? By how much      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1042457: Bob wants to hike a 60-mile trail in the country. He could hike 10 mph for the first 2 hours and 30 mph the rest of the way or go 20 mph the whole way. Which is faster? By how much?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance in miles traveled the first 2 hrs
+d+=+10%2A2+
+d+=+20+ mi
----------------
The rest of the way is:
+60+-+20+=+40+ mi
+40+=+30%2At+
+t+=+4%2F3+ hrs
-----------------
His total time doing it this way is:
+2+%2B+4%2F3+=+10%2F3+ hrs
( or 3 hrs and 20 min )
------------------------------
20 mi/hr the whole way:
+60+=+20%2At+
+t+=+3+ hrs
It is quicker to go 20 mi/hr the whole way