Question

Help me

Maria can alone we ave a basket in 4 hour and Ju lia can wea ve a basket in 6 hour . how mu ch time would it take if they work together to get a wea ve.

1 basket
15 basket​

Answer 1

2.4 hours for 1 basket

36 hours for 15 baskets

Explanation:

The formula to determine the time working together is

1/a + 1/b = 1/c where a and b are the times alone and c is the time together

1/4 + 1/6 = 1/c

Multiply each side by 12c since that is the common denominator

12c(1/4 + 1/6 = 1/c)

3c + 2c = 12

5c = 12

Divide by 5

5c/5 = 12/5

c =2.4 hours

This is the time for 1 basket working together

Now if they need to make 15 baskets together, multiply by 15

15 * 2.4 hours = 36 hours

Answer 2

`\bold{1) 2 (2)/(5) hours} \\ 2)36 \: hours}`

Explanation:

to understand this

you need to know about:

• fraction

let's solve:

in 4 hours Maria weve 1 basket

in 1 hour Maria weve ¼ basket

in 6 hours Ju lia weve 1 basket

in 1 hour J ulia weve ⅙

in 1 hour Maria and J ulia can weve

`\sf (1)/(4) + (1)/(6) \\ \sf = (6 + 4)/(24) \\ = \sf (10)/(24) \\ \sf (5)/(12)`

`(5)/(12)` basket can be weved in 1 hour by Maria and J ulia

1 basket can be weved in

`\sf 1 / (5)/(12) \\ \sf 1 * (12)/(5) \\ \sf2 (2)/(5) \: hours`

by Maria and J ulia

therefore

15 basket can be weved in

`(12 * 15)/(5) \\ 12 * 3 \\ 36 \: hours`