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Westkost [7]
3 years ago
11

Two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete th

e work in 2 hours. How many hours does the maintenance take if they work together?
Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer: 4/3 hours or 1 1/3 hours

Step-by-step explanation:

From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.

Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.

Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.

When they both work together, we will add their fraction of work done in one hour together. This will be:

= 1/4 + 1/2

= 3/4

This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:

= 1 ÷ 3/4

= 1 × 4/3

= 4/3 hours

= 1 hour 20 minutes.

In one

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