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Mathematical Olympics problem
(1) It takes X, Y and Z days for each team of Party A, Party B and Party C to complete all projects independently.

1/( 1/x+ 1/y)= 6

1( 1/y+ 1/z)= 10

2/3/( 1/x+ 1/z)=5

Solution: x= 10

y= 15

z=30

A: It takes 65,438+00,65,438+05,30 days for each team of Party A, Party B and Party C to complete all the projects independently.

(2) Assume that Party A, Party B and Party C need to pay Party A, Party B and Party C the remuneration for their work every day.

6a+6b=8700

10b+ 10c=9500

5a+5c=5500

The solution is a=800 b=650 c=300.

Because the construction period requires that all projects be completed within 15 days, it can only be completed by Party A or Party B. ..

If A is finished, the cost =800* 10=8000.

B If completed, the cost =650* 15=9750.

Therefore, it costs the least to finish this project by Team A alone.