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n accounting machine operator wanted to divide a 65 minute job between two identical machines so that one machine would take one and a half times as long as the other. How much time was taken by the machine doing the longer job

Sagot :

Based on the information given, the time taken for the machine that was doing the longer job will be 39 minutes.

Let the machine taking the smaller job be represented by x

Since the other machine would take one and a half times as long as the other machine, this will be:

= 1.5 × x = 1.5x

Therefore, the equation to solve the question will be:

1.5x + x = 65

2.5x = 65

x = 65/2.5

x = 26

Therefore, the time taken for the longer job will be:

= 1.5x = 1.5 × 26 = 39 minutes

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