SOLUTION: One day Larry decided to go fishing in the back country. He rode his bicycle 14 miles and then walked the last 5 miles. If it took him 3 hours all together and his bike speed was

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: One day Larry decided to go fishing in the back country. He rode his bicycle 14 miles and then walked the last 5 miles. If it took him 3 hours all together and his bike speed was      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1013510: One day Larry decided to go fishing in the back country. He rode his bicycle 14 miles and then walked the last 5 miles. If it took him 3 hours all together and his bike speed was twice his walking speed,how fast did he walk in miles per hour.
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Just did this one...see my earlier solution...walking speed is 4 mph...

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hours spent biking
+3+-+t+ = time in hours spent walking
Let +s+ = his walking speed in mi/hr
+2s+ = his speed biking
--------------------------
His equation for biking:
(1) +14+=+2s%2At+
His equation for walking:
(2) +5+=+s%2A%28+3-t+%29+
----------------------
(1) +s+=+14%2F%282t%29+
(1) +s+=+7%2Ft+
and
(2) +5+=+s%2A%28+3-t+%29+
(2) +5+=%287%2Ft%29%2A%28+3-t+%29+
(2) +5+=+21%2Ft+-+7+
(2) +21%2Ft+=+12+
(2) +12t+=+21+
(2) +t+=+1.75+
and
(1) +s+=+7%2Ft+
(1) +s+=+7%2F1.75+
(1) +s+=+4+
He walked 4 mi/hr
-----------------
check:
(2) +5+=+s%2A%28+3-t+%29+
(2) +5+=4%2A%28+3-1.75+%29+
(2) +5+=+4%2A1.25+
(2) +5+=+5+
and
(1) +14+=+2s%2At+
(1) +14+=+2%2A4%2A1.75+
(1) +14+=+8%2A1.75+
(1) +14+=+14+
OK