SOLUTION: a canoe and a motor boat travel towards each other from a distance of 70 miles. The motor boat moves 12 miles per hour faster that tha canoe. The two boats pass after 2.5 hours. Ho

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Question 270274: a canoe and a motor boat travel towards each other from a distance of 70 miles. The motor boat moves 12 miles per hour faster that tha canoe. The two boats pass after 2.5 hours. How fast does each boat move?
Found 2 solutions by lil-man, josmiceli:
Answer by lil-man(10) About Me  (Show Source):
You can put this solution on YOUR website!
the boat moves at aproxamitly 35mph
and the canoe at aproximitly 23mph

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If they are moving towards eachother at constant
speed, I can think of the canoe as being stationary and
the boat moving towards it at their combined speeds
b+=+c+%2B+12 where c is the speed of the canoe
and b is the speed of the boat. Their combined speeds are
b+%2B+c+=+c+%2B+c+%2B+12
b+%2B+c+=+2c+%2B+12
They meet in 2.5 hrs
If they are 70 mi apart, that distance must be covered
in order for them to meet
70+=+%282c+%2B+12%29%2A2.5
70+=+5c+%2B+30
5c+=+40
c+=+8 mi/hr
and
b+=+c+%2B+12
b+=+8+%2B+12
b+=+20 mi/hr
the canoe's speed is 8 mi/hr
the boats speed is 20 mi/hr
check:
d%5Bc%5D+=+8%2A2.5
d%5Bc%5D+=+20 mi
and
d%5Bb%5D+=+20%2A2.5
d%5Bb%5D+=+50 mi
20+%2B+50+=+70 mi
OK