On a sonar map in the standard (x,y) coordinate
plane, the Yellow Submarine and the Sandwich Submarine are located at
the points (-7,4) and (-2,6), respectively. Each unit on the map
represents an actual distance of 5 nautical miles. Which of the
following is closest to the distance, in nautical miles, between the two
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A teacher takes 5 children on a field trip to a geological museum. As a souvenir, the group receives a bag of stones. When the teacher divides the stones evenly among the children, each child receives exactly 24. If 6 children had been present, how many stones would each child have received?
(A) 15(B) 16(C) 18(D) 20(E) 21
Correct Answer: D
Two hoses attached to separate water sources are available to fill a
cylindrical swimming pool. If both hoses are used, the time it will take
to fill the pool can be represented by the following equation: , where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc
represents the time needed for hoses 1 and 2 to fill the pool working
together. If hose 1 alone can fill the pool in exactly 20 minutes and
hose 2 alone can fill the pool in exactly 60 minutes, how many minutes
will it take to fill the pool if both hoses work simultaneously?