SOLUTION: Two boats leave the same port, heading in opposite directions. One boat travels at 10 mph and the other boat at 12 mph. Formulate an equation in order to determine how long it will

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Question 978347: Two boats leave the same port, heading in opposite directions. One boat travels at 10 mph and the other boat at 12 mph. Formulate an equation in order to determine how long it will take for the two boats to be 33 miles apart
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs when the
boats will be +33+ mi apart
------------------------------
Let +d+ = distance in miles that the
slower boat travels in time +t+
+33+-+d+ = distance the faster
boat travels in time +t+
------------------------------
Equation for the slower boat:
(1) +d+=+10t+
Eqation for the faster boat:
(2) +33+-+d+=+12t+
--------------------
Substitute (1) into (2)
(2) +33+-+10t+=+12t+
(2) +22t+=+33+
(2) +t+=+3%2F2+
The boats will be 33 mi apart in 1 hr 30 min
check:
(1) +d+=+10%2A%283%2F2%29+
(1) +d+=+15+
and
(2) +33+-+d+=+12%2A%283%2F2%29+
(2) +d+=+33+-+18+
(2) +d+=+15+
OK