X takes 4 days to complete one-third of a job,Y takes 3 days to complete one-sixth of the same work and Z takes 5 days to complete half the job.If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done.
X completes 1/3rd in 4 days = 33.33 % job in 4 days.
X One day work = 8.33%
Y one day work = 5.55% [As he complete 1/6 job = 16.66 % job in 3 days]
Z one day work = 10%
Work done in 3 days by X, Y and Z
= 25 + 16.66 + 30 = 71.66 %
Remaining work will be done by Y in,
28.33/5.55 = 5.1 days.
Workspace
NA
SHSTTON
25
Solv. Corr.
16
Solv. In. Corr.
41
Attempted
0 M:27 S
Avg. Time
82 / 100
Choose the correct option.
A certain sum of money is sufficient to pay either George's wages for 15 days or Mark's wages for 10 days. For how long will it suffice if both George and Mark work together?
Let the money to be paid = 30 rupees.
So, George daily wage = 30/15 = 2
and Mark daily wage = 30/10 = 3.
If both are working,
then 5 rupees to be paid.
So given sum is sufficient for 30 / 5 = 6 days.
Workspace
NA
SHSTTON
15
Solv. Corr.
16
Solv. In. Corr.
31
Attempted
4 M:21 S
Avg. Time
83 / 100
Choose the correct option.
A and B can do a piece of work in 40 days. Thier skills of doing the work are in the ratio 8:5. how many days will A take to engage alone ?
Ratio of efficiency of A:B=8:5
Total Efficiency=13
They complete the work in 40 days
When the efficiency of A is 8
A could complete the work in (40/8)*13=65 days
Thus. A alone can do the work in 65 days
Workspace
NA
SHSTTON
29
Solv. Corr.
16
Solv. In. Corr.
45
Attempted
0 M:0 S
Avg. Time
84 / 100
Choose the correct option.
A alone can do 1/4th of the work in 2 days. B alone can do 2/3th of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days?
A can do the total work in 8 days, and B can do it in 6 days.
Let the total work be 24 units. Now capacities are
A = 24/8 = 3,
B = 24/6 = 4,
A + B + C = 24/3 = 8
So Capacity of C = 1 unit.
In two days C will do 2 units which is 2/24th part of the total work. So 1/12th part.
Workspace
NA
SHSTTON
26
Solv. Corr.
23
Solv. In. Corr.
49
Attempted
2 M:18 S
Avg. Time
85 / 100
Choose the correct option.
George and Mark can paint 720 boxes in 20 days, Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is
Capacities of these people as followes
G + M = 720/20 = 36
M + H = 720/24 = 30
H + G = 720/15 = 48
Adding all above we get 2(G + M + H ) = 114 => G + M + H = 114/2 = 57
Now individual capacities are given below
G = 27 ; M = 9; H = 21
So 27 * 4 + 9 * 8 + 21 * 8 = 348
Workspace
NA
SHSTTON
5
Solv. Corr.
26
Solv. In. Corr.
31
Attempted
0 M:13 S
Avg. Time
86 / 100
Choose the correct option.
If twenty four men and sixteen women work on a day, the total wages to be paid is 11,600. If twelve men and thirty seven women work on a day, the total wages to be paid remains the same. What is the wages paid to a man for a day's work?
Let man daily wages and woman daily wages be M and W respectively 24M+16W=11600
12M+37W=11600
By, solving the above equations gives M=350 and W=200
Workspace
NA
SHSTTON
20
Solv. Corr.
10
Solv. In. Corr.
30
Attempted
0 M:0 S
Avg. Time
87 / 100
Choose the correct option.
Thomas takes 7 days to paint a house completely whereas Raj would require 9 days to paint the same house completely. How many days will take to paint the house if both them work together. (Give answers to the nearest integer)?
Thomas=7 days. so 1 day work is 1/7
Raj= 9 days= so 1 day work is 1/9
Hence if both work together for 1 day they will do 1/7+ 1/9= 16/63
So 16/63 in 1 day
So 1 in 63/16 day i.e approx.=4days
Workspace
NA
SHSTTON
5
Solv. Corr.
27
Solv. In. Corr.
32
Attempted
0 M:0 S
Avg. Time
88 / 100
Choose the correct option.
Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed?
Let the work be 60 units. If venky leave 3 days before the work, Last 3 days must be worked by Ravi.
So the remaining days of work be x days,
Total days to complete the work be x + 3 days.
Now Capacities of Rajiv is 60/10 = 6,
Venky is 5,
Ravi is 4. (6 + 5 + 4) 2 + (5 + 4) (x - 3) + 4 x 3 = 60.
30 + 9x - 27 + 12 = 60 9x - 15 =30
9x = 45 x = 5
So total days to complete the work = 2 + 5 = 7 days.
Workspace
NA
SHSTTON
13
Solv. Corr.
19
Solv. In. Corr.
32
Attempted
0 M:0 S
Avg. Time
89 / 100
Choose the correct option.
Babla alone can do a piece of work in 10 days. Ashu alone can do it in 15 days. The total wages for the work is Rs.5000. How much should be Babla be paid if they work together for an entire duration of work.
Bablu work = 1/10
Ashu work = 1/15
Total work = 1/10+1/15 = 3+2/30 = 5/30
Total work = 6 days
Bablu paid = 6/10*5000 = 3000
Workspace
NA
SHSTTON
8
Solv. Corr.
10
Solv. In. Corr.
18
Attempted
0 M:0 S
Avg. Time
90 / 100
Choose the correct option.
A does 3/4 of a piece of work in 24 days. He then calls in B and both of them together complete the remaining work in 4 days. How long would B alone take to do the entire work?
A does 3/4 work in 24 days
whole work do (4/*24=32
so remaining 1/4 work he will do= 32-24=8
A+B both do the remaining work in 4 days
so both take only 50% time and B can also do th remaining work in 8 days
so B also do the whole work in 32 dys.
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