Ahusband and wife can complete a certain task in 1 and 2 hours respectively. their children, rae and herman, can complete the same task in 4 and 6 hours, respectively. what is the ratio of the couple's time working together to complete the task to the children's time working together to complete the task? 15 : 46 3 : 10 12 : 23 5 : 18 10 : 3

The correct option is D) 5:18.

Step-by-step explanation:

Consider the provided information.

A husband and wife can complete a certain task in 1 and 2 hours respectively.

Then in 1 hr the work done by the husband and wife is:

Thus, the work done is:

Rae and Herman, can complete the same task in 4 and 6 hours, respectively.

Then in 1 hr the work done by Rae and Herman is:

Thus, the work done is:

Now calculate the ratio as shown.

Ratio=5:18

Hence, the required ratio is 5:18.

Thus the correct option is D) 5:18.

5:18

Step-by-step explanation:

Husband can complete the task in 1 hour so rate of husband work done is 1

Wife can complete the task in 2 hour so the rate of work done of wife is

When both work together then the rate of work done is

So when they work together they need

It is given that Rae can complete the work in 4 hopur so rate of work done of Rae is

It is also given that Herman can complete the work in 6 hour so rate of work done of Herman is

If both children work together then their rate of work done is

So when they work together they need

So the ratio of couple's time working together to the children's time working together is

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step-by-step explanation:

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80