The time it takes for four men to finish a task is twice as long as the time it takes for five kids to finish the same task. Men are each twice as quick as women. How long will it take 12 men, 10 kids, and 8 women to perform a task when a child could finish it in 20 days?

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2 days

4 days

1 day

answer is D.

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Detailed Solution

Concept: We have indicated the number of days it takes a child to finish the task so that we can determine how much work one youngster can accomplish in a single day. We will then multiply the number of children, men, and women by the amount of work that can be accomplished by one man and one woman in one day.
Due to the fact that a task requires four men twice as long to accomplish as it does for five children.
Since it is assumed that one child might complete the task in 20 days.
Therefore, 5 kids will finish it in

.
Therefore, one child would do

tasks in one day.
As a result, the time required by four males is equal to the time required by five children.
Consequently, four men completed the work.

Work completed by one guy would therefore take 32 days.
Therefore,

hours would be worked by 1 guy in 1 day.
Because every man is twice as quick as a woman.
Therefore, the identical job completed by one woman would

Therefore, the amount of work completed by one lady in one day would be

10 kids' combined labor would be

Work completed by 12 men would total

8 women would contribute a total of

The sum of the work done by 10 children, 12 adults, and 8 women is

Hence, option 4 is correct.

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