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Puzzle Time again!


boat over riverFive members of the School Math team are running late for a big competition and hurrying toward the Hall—but they have to cross the stream that cuts through the campus. When they reach the stream, there’s a small boat tied up on their side that they can “borrow” to get to the other side. The boat will hold one, two or three of the students, but not more. Fortunately, two of the team members are also on the crew team, and when the boat contains only one or both of them, they can make it across the stream in one minute. Unfortunately, the other three teammates are very inexperienced with boats, and when any of them is aboard, there is so much awkwardness that the crossing will take four minutes, regardless of whether one of the crew teammates is on board. The team members work out the fastest strategy for rowing back and forth across the stream to get everyone to the other side for the competition.

How many minutes does it take all five team members to get across? (from: varsity math)

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10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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