Math, asked by nainabaraily2, 1 day ago

'A' alone can do a piece of work in 6 days and 'B' alone can do it in 12 days . In how many days will A and B together do the same work (a)2days (b) 3days (c)4days ) ( d)5days​. anyone will answer I'll make him brainliest​

Answers

Answered by gulechahritvi
0

Answer:

4 days

Step-by-step explanation:

It is perhaps most intuitive to think of this in terms of units.

A and B are measurements as work per day. However, the values given are expressed in terms of days per work. So those values need to be inverted:

A = 1/6

B = 1/12

A + B = 1/6 + 1/12 = 3/12 = 1/4, or one work per four days. So the answer is “4”.

The way to check this intuitively would be via the least common multiple of the days specified for A and B, which is 12 days.

A can complete 2 pieces of work in 12 days

B can complete 1 piece of work in 12 days

A and B can together complete 3 pieces of work in 12 days

Therefore, they can complete one piece of work every 4 days.

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