SOLUTION: Amy's boat travels 35 mph. The best fishing spot in the lake is 27 miles away from her starting point. A. If she drives her boat for 2/3 of an hour, will she make it to the best

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Amy's boat travels 35 mph. The best fishing spot in the lake is 27 miles away from her starting point. A. If she drives her boat for 2/3 of an hour, will she make it to the best       Log On

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Question 962814: Amy's boat travels 35 mph. The best fishing spot in the lake is 27 miles away from her starting point.
A. If she drives her boat for 2/3 of an hour, will she make it to the best fishing spot on the lake?
B. How long will Amy need to drive to get to the best fishing spot on the lake? Express your answer in both a portion of an hour and in minutes.
I have only figured out 2/3 hour is 40 mins.
Plz help
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Starting the problem, leave everything in
terms of hours and miles/hr
(A)
Use +d+=+r%2At+
+27+=+35%2At+
+t+=+27%2F35+
In +2%2F3+ hr, how far does Amy go?
+d+=+r%2At+
+d+=+35%2A%282%2F3%29+
+d+=+70%2F3+
+d+=+23.333+ mi
She is short of the fishing spot by
+27+-+23.333+=+3.667+ mi
so, she does not make it to fishing spot
-----------------------------------
(B)
From above, she will have to drive +27%2F35+ hrs
To convert to mintes:
[ minutes] = [ hrs ] x [ min / hr ]
+%28+27%2F35+%29%2A%28+60%2F1+%29+=+1620%2F35+
+1620%2F35+=+324%2F7+
+324%2F7+=+46.2857+ min
--------------------------
You can go further and get minutes and seconds
[ seconds ] = [ min ] x [ sec / min ]
+.2857%2A%28+60%2F1+%29+=+17.143+
--------------------------
So, it takes her 46 min 17 sec to get to fishing spot