Answered

A technician can complete an installation in 1. 5 hours. Her less experienced colleague takes 2. 5 hours to complete an installation. If both individuals start working at the same time, and each works 60 hours over the course of ten days, how many total installations will they have completed

Answer :

The total installations they would have completed is 64 installations

Quantity & Rate

From the question, we are to determine how many total installations they would have completed

  • For the technician

If the technician can complete an installation in 1.5 hours

Then,

In 60 hours, the technician will complete [tex]\frac{60}{1.5}[/tex] installations

[tex]\frac{60}{1.5}[/tex] = 40

Therefore, the technician would have completed 40 installations

  • For the less experienced colleague

If it takes the less experienced colleague 2.5 hours to complete an installation

Then,

In 60 hours, the less experienced colleague will complete [tex]\frac{60}{2.5}[/tex] installations

[tex]\frac{60}{2.5}[/tex] = 24

Therefore, the less experienced colleague would have completed 24 installations

Hence, the total installations they would have completed is 40 + 24 = 64 installations

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