This classroom could use a new paint job. The resources must be assigned to do t

Question

This classroom could use a new paint job. The resources must be assigned to do the job but a schedule needs to be determined based on past history (BOE). Resource A and B together have done a similar job in 10 days Resource A and C together have done a similar job in 15 days Resource B and C together have done a similar job in 30 days Only one resource can be made available and you want to assign the most efficient one. Calculate how long would it take each resource to paint the room individually and determine the most efficient resource.

Explanation / Answer

1/a + 1/b = 1/10
1/a + 1/c = 1/15
1/b + 1/c = 1/30

Adding the three equations, we get :
2/a + 2/b + 2/c = 1/10 + 1/15 + 1/30
2/a + 2/b + 2/c = 1/5

So, 1/a + 1/b + 1/c = 1/10

There is a probl;em here
From equations
1/a + 1/b = 1/10
and
1/a + 1/b + 1/c = 1/10
It would seem 1/c = 0, which is impossible

Kindly check the numbers 10 , 15 and 30 again
because a schedule just cant be made

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