SOLUTION: Annie drove to town at a rate of 64kph and returned at 80kph. How much time was taken for each direction if the total arriving time was 1 hour and 21 minutes?

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Question 334053: Annie drove to town at a rate of 64kph and returned at 80kph. How much time was taken for each direction if the total arriving time was 1 hour and 21 minutes?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let distance be x
..
to town 64 kph
time taken = x/64 hours
..
back 80 kph
time taken = x/80 hours
..
Total time taken = 1 hour 21 minutes
= 1 (21/60)
=81/60 hours
x%2F64+%2B+x%2F80+=+81%2F60
..
80x%2B64x+%2F%2880%2A64%29+=+81%2F60+
..
144x%2F%2880%2A64%29+=+81%2F60+
..
+144x+=+%2880%2A64%2A81%29%2F60+
..
+x+=+%2880%2A64%2A81%29%2F%2860%2A144%29+
x= 48
to town time taken = 48/64
=3/4 hours
Balance 36 minutes to return = 0. 6 hours