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25 Apr 2019, 08:03
Kudos
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A
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Taps P, Q and R fill identical tasks at different constant rates. Tap P, working alone, can fill the tank in 10 hours. Is P's rate the slowest rate?
1. Tap Q, working alone, can fill the tank in 8 hours, and Tap Q and R working together can fill the tank in approximately 80% of the time taken by Taps P and R working together to fill the tank.
2. Taps Q and R fill the tank in approximately 66.67% of the time taken for Taps P and Q to fill the tank.
1. Tap Q, working alone, can fill the tank in 8 hours, and Tap Q and R working together can fill the tank in approximately 80% of the time taken by Taps P and R working together to fill the tank.
2. Taps Q and R fill the tank in approximately 66.67% of the time taken for Taps P and Q to fill the tank.
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25 Apr 2019, 09:03
Kudos
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btrg
Where is the question from? There seems to be a typo in Statement 1. If Q takes 8 hours, and P takes 10 hours, then Q alone takes 80% as long as P. If it is then also true that Q and R together take roughly 80% as long as P and R together, then tap R must be doing almost nothing; if R were doing anything meaningful, that 80% would change. But that would mean R takes far longer than the other taps, and that conclusion would then contradict what we learn in Statement 2 about tap R; statement 2 guarantees that R is much faster than P (since Q is common to both combinations of taps).
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