Question

jyoti alone can knit a sweater in 4 hours and meera alone can knit a sweater in 6hours.how much time they take working together to knit 1.one sweater 2. 15sweaters ​

Answer 1

Answer:

2.4hrs, 36hrs

Step-by-step explanation:

j in 1hr can knit 1/4 sweater

m in 1hr can knit 1/6 sweater

j+m = 1/4 + 1/6

=3+2/12

=5/12

j+m can knit 5/12 sweater in 1hr

so 1sweater j+m takes 12/5hrs = 2.4hrs

15 sweaters takes 12/5 ×15 = 36hrs

Answer 2

1.Time required if they take work  together to knit  one sweater.

2. Time required if they take work  together to knit  15 sweater.

Step-by-step explanation:

Given:

A sweater can be kint by Jyoti alone  in 4 hours.

A sweater can be kint by  Meera alone  in 6hours.

To Find:

1.Time required if they take work  together to knit  one sweater.

2. Time required if they take work  together to knit  15 sweater.

Formula Used:

If P can do a piece of work in Q days, then P’s one day’s work = 1/Q.

If P’s one day’s work = 1/Q, then P can finish the work in Q days.

Solution:

Time   taken by Jyoti  to knit 1 sweater is 4 hours..

So,  Jyoti  can knit 1/4 in 1 hours.

Time   taken by  Meera  to knit 1 sweater is 6 hours.

So, Meera  can knit 1/6  in 1 hours.

So, when they work together

They can knit (1/4+1/6) = 5/12 part of sweater in 1hr

Time required if they take work  together to knit  one sweater.

= 1/(5/12) = 12/5  hours.

Time required if they take work  together to knit  15 sweater.

= (12/5)x(15) = 36 hours.

Thus,

1. Time required if they take work  together to knit  one sweater.

=12/5  hours.

2. Time required if they take work  together to knit  15 sweater  = 36 hours.