Solution: If B can complete a work in 12 days then Acc. to the question A can do it in 6 days
So 1 day work of both A and B are 1/6 and 1/12 respectively
hence Both working together in 1 day can complete 1/6 1/12= 1/4 part of the work so the complete work can be done in 4 days.
Workspace
NA
SHSTTON
54
Solv. Corr.
81
Solv. In. Corr.
135
Attempted
5 M:13 S
Avg. Time
92 / 100
Choose the correct option.
A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
assume B completes 1unit of work per day.
=>A completes 2 units per day
=>both A and B complete 3 units per day
=>total units of work=3u*18=54 units
=> ANS :no of days for A alone=54/2 = 27 days
Workspace
NA
SHSTTON
27
Solv. Corr.
22
Solv. In. Corr.
49
Attempted
1 M:1 S
Avg. Time
94 / 100
Choose the correct option.
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days A alone can finish the remaining work?
Solution: B's one day work is 1/15 so in 10 days he will do 10/15th part of the work
Remaining work left= 1-2/3 i.e = 1/3
Now A can 1 work in 18 days
So 1/3rd work can be done in 1/3*18= 6 days.
Workspace
NA
SHSTTON
22
Solv. Corr.
56
Solv. In. Corr.
78
Attempted
3 M:2 S
Avg. Time
95 / 100
Choose the correct option.
Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. if the boy is paid at the rate of $28 a week. What should be the wages of the girls?
2b+1g=1/5=>10b+5g=1---------(1)
1b+2g=1/6=>6b+12g=1---------(2)
from (1)&(2)
10b+5g=6b+12g
4b=7g
b:g=7:4
but above ratio is reverse b:g=4:7
wages of the girls=(4*28)/7
=4*4=16
Workspace
NA
SHSTTON
17
Solv. Corr.
45
Solv. In. Corr.
62
Attempted
1 M:53 S
Avg. Time
96 / 100
Choose the correct option.
A man engaged a servant on a condition that he will pay Rs 90 and also give him a bag at the end of the year . He worked for 9 months and was paid Rs 55 and a turban. So the price of the turban is?
Ratio of times taken by A and B = 100 : 130
assume B takes x days to do the work.
So, 100:130::15:x
=> x=130*15/100=39/2.
B's 1 day's work=2/39
and A's 1 day's work=1/15
(A+B)'s 1 day's work=69/585
A & B together can complete the work in 585/69 days..
Workspace
NA
SHSTTON
20
Solv. Corr.
22
Solv. In. Corr.
42
Attempted
0 M:0 S
Avg. Time
98 / 100
Choose the correct option.
Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. I f this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is
A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency. Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?
Abhishek starts to paint a fence on one day. On the second day, two more friends of Abhishek join him. On the third day 3 more friends of him join him and so on. If the fence is completely painted this way in exactly 20 days, then find the number of days in which 10 girls painting together can paint the fence completely, given that every girl can paint twice as fast as Abhishek and his friends (Boys)? (Assume that the friends of Abhishek are all boys).
Number of men working on first day = 1 Number of men working on second day = 3
Number of men working on second day = 6 and so on.. Total number of boys till the end of the work = [n(n + 1) (n + 2)] / 6
= [20 x 21 x 22] / 6 = 1540
Given that every girl paints twice as fast as Abhishek's friends.
Hence, 20 girls work is being done.
Thus, the number of days taken to paint the fence = 1540/20 = 77.
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