In a certain factory, there are 20 men and 60 % women of the total workers. In a project of production 1/25 part of work is assigned to each man and 1/40 part of work is assigned to each woman.
1. How much work will be done by women on day 1? (a) 3/5(b) 2/3(c)
(d) None of these
2. How much work will be done by men on day 1? (a) 4/5(b) 3/4(c)5/6
(d) None of these
3. How many total women are there in group ? (a) 30(b) 46(c) 50
(d) None of these
4. How many total men are there in group ? (a) 40 % (b) 30 % (c) 42 %
(d) None of these
Answers
Answer:
please mark as brainlist
Step-by-step explanation:
- Question 1: Ram and Shyam undertake a piece of work for Rs 300. Ram can do it in 20 days and Shaym can do it in 60 days. With the help of Radha, they finish it in 10 days. How much should Radha be paid for her contribution?
Solution: Ram alone takes 20 days and Shyam alone takes 60 days to finish the work.
All together can finish in 10 days.
Let the total work done is LCM(10, 20, 60) = 60
Ram’s efficiency = 60/20 = 3
Shyam’s efficiency = 60/60 = 1
Combined Efficiency = 60/10= 6
Radha’s efficiency = 6 – 3 -1 = 2
efficiency ratio = 3:1:2
therefore radha’s money = (2/6)*300=100 rs
Question 2: A can do a piece of work in 30 days. He works only for 5 days and left, then B finishes the remaining work in 15 more days. In how many days will A and B together finish the work?
Solution: 25 days work of A completed by B in 15 days.
25A=15B
A/B=3/5
A’s efficiency = 3
B’s efficiency = 5
Total work done= 3 * 30 = 90
Work done by A and B together=total work done/total efficiency
= 90/8
= 11.25 days
Question 3: Twenty five employees can finish a project in 40 days.After how many days should 10 employees leave the job so that the project is finished in 50 days.
Solution: Let n be the number of days when 10 employees left the project.
Total work done= 25*40= 1000
25x + (50 – x)15 = 1000
25x + 750 – 15x = 1000
10x = 250
x = 25
Hence, after 25 days 10 employees left the job.
Question 4: A can type 85 pages in 10 hours. A and B together can type 500 pages in 40 hours.How much time B will take to type 80 pages.
Solution: A can type 85 pages in 10 hours
Then, A can type 340 pages in 40 hours.
A and B together can type 500 pages in 40 hours
So, B can type number of pages= 500 – 340 = 160 pages in 40 hours.
Hence, B can type 80 pages in 20 hours.
Question 5: A, B and C can do a piece of work in 10, 12 and 15 days respectively.They all start the work together but A leaves after the 2 days of work and B leaves 3 days before the work is completed.Find the number of days the work completed.
Solution: Total work done is LCM(10, 12, 15)=60 unit
A’s efficiency = 60/10= 6
B’s efficiency = 60/12= 5
C’s efficiency = 60/15= 4
First two days all work together
So, the work completed in first two days= 15 x 2 = 30 unit
Remaining work= 60 – 30 = 30 unit
If B completes 3 day work also = 3 x 5 = 15 unit
Total work remaining= 30 + 15 = 45 unit
Number of days B and C works= 45/9=5
Total number of days to complete the work = 2 + 5 = 7 days.