Question

Sanjay can complete the job in 16 days and tamana can complete the same job in 12 days starting with sanjay they work on alternate day the total work will be completed in

Answer 1

Let Sanjay be person A

And tammana be person B

A's 1 day work = 1/16

B's 1 day work = 1/12

As they are working on alternate day's

So their 2 days work = (1/16)+(1/12)

= 7/48

[here is a small technique, Total work done will be 1, right, then multiply numerator till denominator, as 7*6 = 42, 7*7 = 49, as 7*7 is more than 48, so we will consider 7*6, means 6 pairs ]

Work done in 6 pairs = 6*(7/48) = 7/8

Remaining work = 1-7/8 = 1/8

On 13th day it will A turn,

then remaining work = (1/8)-(1/16) = 1/16

On 14th day it is B turn,

1/12 work done by B in 1 day

1/16 work will be done in (12*1/16) = 3/4 day

So total days =

13 whole 3/4 or 13.75