SOLUTION: SOLVE the word problem COMPLETELY. you must use 2 variables. (2 let statements). PLEASE SOLVE AND SHOW ALL WORK AND ALL STEPS INVOLVED. Jim exercises everyday. He walks at 3 mp

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Question 969617: SOLVE the word problem COMPLETELY. you must use 2 variables. (2 let statements). PLEASE SOLVE AND SHOW ALL WORK AND ALL STEPS INVOLVED.
Jim exercises everyday. He walks at 3 mph and then jogs at 5mph. If it takes him 0.9 hours to travel a total of 3.5 miles, How long does he walk and how long does he jog?
Found 2 solutions by josmiceli, macston:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs spent walking
+.9+-+t+ = time spent jogging
Let +d+ = distance in miles walking
+3.5+-+d+ = distance in miles jogging
-----------------------------------
Equation for walking:
(1) +d+=+3t+
Equation for jogging:
(2) +3.5+-+d+=+5%2A%28+.9+-+t+%29+
---------------------------
(2) +3.5+-+d+=+4.5+-+5t+
(2) +5t+-+d+=+1+
Substitute (1) into (2)
(2) +5t+-+3t+=+1+
(2) +2t+=+1+
(2) +t+=+.5+ hrs
+.9+-+t+=+.4+ hrs
--------------------
He walks for .5 hrs
He jogs for .4 hrs
--------------------
Check:
(1) +d+=+3t+
(1) +d+=+3%2A.5+
(1) +d+=+1.5+ mi
and
(2) +3.5+-+d+=+5%2A%28+.9+-+t+%29+
(2) +3.5+-+d+=+5%2A.4+
(2) +d+=+3.5+-+2+
(2) +d+=+1.5+ mi
OK


Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=time walking; J=time jogging
.
W+J=0.9hr
W=0.9hr-J Use this below to substitute for W.
.
3mph(W)+5mph(J)=3.5 miles Substitute for W from above.
3mph(0.9hr-J)+5mph(J)=3.5 miles
2.7 miles-3mph(J)+5mph(J)=3.5 miles Subtract 2.7 miles from each side.
2mph(J)=0.8 miles Divide each side by 2mph.
J=0.4 hr
.
ANSWER 1: Jim jogged for 0.4 hour.
.
W=0.9hr-J=0.9hr-0.4hr=0.5hr
.
ANSWER 2: Jim walked 0.5 hour.
.
CHECK:
3mph(W)+5mph(J)=3.5 miles
3mph(0.5hr)+5mph(0.4hr)=3.5 miles
1.5 miles + 2 miles=3.5 miles
3.5 miles=3.5 miles