Maths-

General

Easy

Question

# Michelle can complete a landscaping job in 6 days and Danielle can complete the same job in 4 days. Working together, in how many days could they complete the job?

Hint:

### When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres.

## The correct answer is: 2 2/5 days

### Let’s say the total work done is W and let’s say the work done by Michelle in one day is W_{M} and work done by Danielle in one day is W_{D}

Step 1 of 3:

It is given that Michelle completes the job in 6 days. So we can write

W_{M} × 6 = W

W_{M} = …….(1)

It is given that Danielle completes the job in 4 days. So we can write

W_{D} × 4 = W

W_{D} = …….(2)

Step 2 of 3:

Now, adding equations (1) and (2)

W_{M} + W_{D}= +

W_{M} + W_{D }= ……(3)

Step 3 of 3:

From equation (3), we get to know that work is done by both of them in one day.

So, the number of days required by all three to complete W work = = = days

Final Answer:

Hence, if they worked together it would take days.

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