document.write( "Question 944976: I need help solving this word problem. You drove 370 miles in 6 hours. You drove 70 mph on the highway and 45 mph on the back roads. How many hours did you spend on each? \n" ); document.write( "
Algebra.Com's Answer #576219 by ankor@dixie-net.com(22740)\"\" \"About 
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You drove 370 miles in 6 hours.
\n" ); document.write( " You drove 70 mph on the highway and 45 mph on the back roads.
\n" ); document.write( " How many hours did you spend on each?
\n" ); document.write( ":
\n" ); document.write( "let t = time traveling at 70 mph
\n" ); document.write( "the total time of the trip is 6 hrs,therfore:
\n" ); document.write( "(6-t) = time at 45 mph
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( ":
\n" ); document.write( "70 mph dist + 45 mph dist = 370
\n" ); document.write( "70t + 45(6-t) = 370
\n" ); document.write( "70t + 270 - 45t = 370
\n" ); document.write( "70t - 45t = 370 - 270
\n" ); document.write( "25t = 100
\n" ); document.write( "t = 100/25
\n" ); document.write( "t = 4 hrs at 70 mph
\n" ); document.write( "then
\n" ); document.write( "6 - 4 = 2 hrs at 45 mph
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this, find the actual dist at each speed
\n" ); document.write( "70*4 = 280 mi
\n" ); document.write( "45*2 = 90 mi
\n" ); document.write( "---------------
\n" ); document.write( "total dist: 270 mi \n" ); document.write( "
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