Question

Riya can do a piece of work in 25 days and Siya can do it in 20 days. They work
together for 5 days and then Riya goes away. In how many days will Siya finish
the remaining work?​

Answer 1

Answer:

n 1- day A and B can do= 1/20+ 1/25 = 9/100.

In 5- days both can do= 9/100 x 5 =45/100.

Number days required by A to finish the remaining work= (55/100)÷(1/20) = 11- days.

========================== Another method A does the work till the end and B does the work for 5- days only.

If the total work if finished in X- days, then

So X/20 + 5/25= 1

5X+ 20= 100

X= 80/5= 16.

So complete work is done in 16- days.

A alone does after B- left= 16–5= 11- days !!!

Step-by-step explanation:

keep a as Riya and b as siya

Answer 2

Siya will take 15.5 days to complete the remaining work after Riya goes away.

Let's assume that the total work to be done is represented by the symbol "W".

Since Riya can do the work in 25 days, her work rate (amount of work done per day) is 1/25 of the total work, which can be expressed as:

Riya's work rate = 1/25 W

Similarly, Siya's work rate is 1/20 of the total work, which can be expressed as:

Siya's work rate = 1/20 W

When they work together for 5 days, their combined work rate is:

Combined work rate = Riya's work rate + Siya's work rate

Combined work rate = (1/25) W + (1/20) W

Combined work rate = (9/200) W

Therefore, in 5 days, they will have completed:

Work done in 5 days = Combined work rate x Number of days worked

Work done in 5 days = (9/200) W x 5

Work done in 5 days = (9/40) W

After 5 days, the remaining work is:

Remaining work = Total work - Work done in 5 days

Remaining work = W - (9/40) W

Remaining work = (31/40) W

Now, Siya has to complete this remaining work. Since Siya's work rate is 1/20 of the total work, she can complete the remaining work in:

Number of days Siya will take = Remaining work / Siya's work rate

Number of days Siya will take = [(31/40) W] / [(1/20) W]

Number of days Siya will take = 31/2

Number of days Siya will take = 15.5 days

Therefore, Siya will take 15.5 days to complete the remaining work after Riya goes away.

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