Math, asked by akashgujjar26, 9 months ago

A complete a work in 25 days working 8 hours a day.A started the work and worked for one day and next day B joined him who is twice as efficient as A. on next day C is also joined them who is thrice as efficient as A and the process continues.in how many days total work will be get completed if they work 4 hour/day.​

Answers

Answered by NKR143
12

Answer: 5(5/7) days

Step-by-step explanation: See the attached image for solution.

Attachments:
Answered by SteffiPaul
0

Therefore 9 days 16 hours is needed to complete the total work if everyone worked for 4 hours/week.

Given:

'A' completes work in 25 days working 8 hours a day.

'B' works twice as efficiently as 'A'.

'C' works thrice as efficiently as 'A'.

'A' starts the work, the next day 'B' joins and the next day 'C' joins.

To Find:

Time taken to complete the total work if everyone works for 4 hours/week.

Solution:

The given question can be solved as shown below.

Let us assume that the total work to be done is '200 units'.

Then work done by 'A' per day = 200/25 = 8 units

⇒ And work done by 'A' per hour = 8/8 = 1 unit

⇒ Work done by 'B' per hour = 2 × ( Work done by 'A' ) = 2 units

⇒ Work done by 'C' per hour = 3 × ( Work done by 'A' ) = 3 units

→ Work done by 'A' ( 4 hours ) = 1 unit × 4 = 4 units

→ Work done by 'B' ( 4 hours ) = 2 units × 4 = 8 units

→ Work done by 'C' ( 4 hours )  = 3 units × 4 = 12 units

Total work to be done = 200 units

First day:

Work done by 'A' = 4 units

Second day:

Work done by 'A' and 'B' = 4 + 8 = 12 units

Third day:

work done by 'A', 'B', and 'C' = 4 + 8 + 12 = 24 units

Work done in first 3 days = 4 + 12 + 24 = 40 units

Remaining work to be done = 200 - 40 = 160 units

From the 4th day:

Work done by 'A', 'B', and 'C' = 24 units

Number of days taken to complete remaining work = 160/24 = 6.67 days

Total number of days taken to complete the total work = 3 days + 6.67 days = 9 days 16 hours

Therefore 9 days 16 hours is needed to complete the total work if everyone worked for 4 hours/week.

#SPJ2

Similar questions