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Gold mathematics test paper
1. solution: if the original plan takes x months to complete this project, it actually takes (x-3) months to complete this project.

According to the meaning of the question: (1+12%) (x-3) = X.

Solution: x = 28.

It is verified that x=28 is the solution of the original equation.

A: It was originally planned to complete this project in 28 months.

2. Solution: Let the number of parts processed by a worker per hour be X, so now the number of parts that a worker can process per hour is (1+20%) X.

Because the time for each worker to process 2 10 parts is half an hour less than the original time for processing 2 10 parts.

2 10/x-2 10/( 1+20%)x = 0.5

Multiply both sides of the equation by x at the same time and you get

2 10-2 10/ 1.2 = 0.5x

x = 2×(2 10-2 10/ 1.2)

= 2×(2 10- 175)

=2×35

=70 (pieces)

(1+20%) x =1.2× 70 = 84 (pieces)

A: In the past, a worker processed 70 parts per hour, but now a worker can process 84 parts per hour.

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