Afarmer can plant a field in 10 days. his daughter can plant the same field in 15 days. if they work together how long would it take to plant the field?

The farmer and daughter working together would take 6 days to plant the field

Time taken by farmer to plant a field is 10 days

Time taken by his daughter to plant a field is 15 days

Now lets find L.C.M of 10 and 15

List all prime factors for each number.

Prime factorization of 10 = 2 x 5

Prime factorization of 15 = 3 x 5

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 5 = 30

Thus L.C.M of 10 and 15 is 30

When both of them work together:

Hence, both of them can complete the work in 6 days

step-by-step explanation:

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