Question

John stitches a trouser in 4 hours while Jack needs 3 hour for the same job. If they both have to stitch 14
trousers, then calculate the time taken by them.
(a) 22 hours
(b) 24 hours
(c) 26 hours
(d) 28 hours
and explain also please don't be forget this
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Answer 1

Answer:

B) 24 hours.

Step-by-step explanation:

John stitches a trouser in 4 hours

=> John stitches 1/4 of a trouser in 1 hour.

Jack stitches a trouser in 3 hours

=> Jack stitches 1/3 of a trouser in 1 hour.

So, both would stitch 1/4 + 1/3 = 3/12 + 4/12 = 7/12 of a trouser in 1 hour.

If they both have to stitch 14 trousers together, it would take (14 ÷ 7/12) hours = (14 × 12/7) hours = 24 hours.

Answer 2

Answer is 28 hours

Explanation : firstly ;

they both are working together so the estimated time of stitching a 1 trouser...

1 trouser takes 4 hour to stitch when John stitching

1 trouser takes 3 hours to stitch when jack is stitching
But they are working together (now/here)

So

1 trouser is taking time of 4/3 hours which is equals to 2.5 hours

...will be 2.5 hours ;

After that;

they are taking 2.5 hours to stitch 1 trouser so they will stitch

2.5 hours to stitch 1 trouser
How many hours to stitch 14

= 2.5/14

=28.45 hours ~ 28 hours


14 trouser in 28 hours if they are working continuously at the average time of 2.5 hours for each trouser it means

1 trouser takes 2 hours and 30 minutes
14 trouser should take 28 hours

Thank you