In previous post, we learnt on the how to calculate number of days taken by a person to complete some work. In this video, we'll add little complexity in problems and bring two persons in our problem set.
We'll start with shirt problem only.
Let's say a person John stitches 10 shirts in a day, another person Ram also stitches 10 shirts in a day. This means they both are working at equal capacity and completes equal amount of work in a day,
Now, in order to stitch 100 shirts, John will take 10 days and Ram will also take 10 days.
Question here is how many days they'll take to stitch 100 shirts if they both work together.
Let's find out how many shirts they stitch together ? 10 + 10 = 20 20 shirts
Now total number of days to stitch all shirts together : - Total number of shirts to be stitched/ Total number of shirts they are stitching
= 100/20 = 5 days
Let's take another example:
John gets ill and stitches only 6 shirts in a day and Ram is still stitching 10 shirts in a day. Now if they have to stitch 144 shirts, how many days they'll take?
Total shirts stitch together in a day = 10 + 6 = 16
Number of days to stitch all 144 shirts = 144/16 = 9
Another example, John stitches shirts and Ram stitches trouser. John can stitch 11 shirts but Ram can stitch 8 trousers. How many days they'll take to complete 55 Pair of shirts and trousers.
John will take 5 days to stitch 55 shirts,
Ram will take 55/8 = 6.875 to stitch trouser.
So Ram is taking more time to stitch shirt. They'll complete the work in 7 days.