I read all of the explanations above and i wasn't convinced on one thing. I had the below reasoning while solving this question and never reached the correct answer. Plz tell me whats wrong with this:
The question asked about the
first 5 miles of the trip. So, IMO, the quantity of water that was lost
due to because of the leak should also be calculated
for the first 5 miles and not for the complete trip. Thus the water lost would be less than 2.
Here's what i calculated:
Total water initially = 10 cups
Total water used (including leak) in 6 miles = 9 cups
Total water used (including leak) in first 5 miles = 9-3 = 6 cups
Problem starts here (all say 2 cups leaked and subtract it from 6 to get 4, i differ)Time taken to cover first 5 miles: \(\frac{5}{3}\) hours (speed is 3 mph)
Water leaked in 5/3 hours: \(\frac{5}{3}\) cups (leak speed is 1 cup per hr)
Total water he drank during the first 5 miles: \(6-\frac{5}{3}\) cups
= \(\frac{13}{3}\) cups
Water drank per mile during the first 5 miles: \(\frac{13}{15}\)
Why am i wrong?
_________________
One Kudos for an everlasting piece of knowledge is not a bad deal at all... ------------------------------------------------------------------------------------------------------------------------
Twenty years from now you will be more disappointed by the things you didn't do than by the ones you did do. So throw off the bowlines. Sail away from the safe harbor. Catch the trade winds in your sails. Explore. Dream. Discover.
-Mark Twain