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If p players could score 5 points in 30 minutes, how many minutes would it take 2 more players to score t points?
 Mar 19, 2014
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If p players could score 5 points in 30 minutes, how many minutes would it take 2 more players to score t points?

Interesting!!

Well....each minute, p players must score 1/6 pt. .......(30 minutes * 1/6 = 5)

So, let's find out how many points p+2 players could score every minute. Let this be = x.

Using a simple proportion, we have

p / (1/6) = (p + 2) / x

Therefore, taking the cross product, x * p = (1/6) * (p + 2)

Then x = (p + 2) / (6p)

Then......(Number of points scored each minute by (p + 2) players) * (number of minutes) = ( t )

((p + 2) / (6p) ) * (m) = (t)

Well.....then the number of minutes required to score t points = m

Then m = ( t ) / ((p + 2) / (6p))

Thus, ......... m = (6p) * (t) / (p + 2 )

Since we don't know what p or t are, we can't actually give a "numeric" answer!!

Hope this helps.....
 Mar 19, 2014

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