One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men & 3 women can do it in 120 hours. 5 Men & 12 boys can do it in how many hours?
Lets assume man, women and boy as M, W, B respectively.
So, m+3W+4B=1/96 ------- (1)
2M+8B=1/80 -------- (2)
2M+3W=1/120 ---------(3)
By solving above eq.
4M+16B=1/40 4
eq(3)+eq(4)
5M+12B+(M+3W+4B) = 1/40+1/120
5M+12B=11/480 = 43 7/11 hrs.
Workspace
NA
SHSTTON
21
Solv. Corr.
10
Solv. In. Corr.
31
Attempted
0 M:48 S
Avg. Time
52 / 90
Choose the correct option.
A does 4/5 of work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
A can do 4/5th works in 20 days.
so he can do the whole work in 20*(5/4) =25 days.
remaining work after done 4/5 by A is=1-(4/5)=1/5
(A+B) can do the 1/5th work in 3 days.
means the can do the whole work in (3*5)=15 days.
so,(A+B)'s 1 days work=1/15
B's 1 day's work {(1/15)-(1/25)}=2/75
so B can alone do the whole work in 75/2,means in 37 1/2 days.
Workspace
NA
SHSTTON
9
Solv. Corr.
16
Solv. In. Corr.
25
Attempted
0 M:0 S
Avg. Time
53 / 90
Choose the correct option.
2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1. boy do the work? .
If 1 day work of a man=m and a boy=b, then
2m + 3b =1/10 ----(i) and
3m + 2b =1/8 ----(ii)
On solving (i) and (ii), m=7/200, b=1/100
So 2 men and 1 boy's 1 day work= (2*7/200)+(1/100)=8/100=2/25
Hence they can complete the work in 25/2=12.5 days
Workspace
NA
SHSTTON
15
Solv. Corr.
14
Solv. In. Corr.
29
Attempted
0 M:0 S
Avg. Time
54 / 90
Choose the correct option.
A and B undertake to do a piece of work for Rs. 600. A alone can- do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of each.
Given, A is 6 times as fast as B
So, Ratio of time taken by A and B will be 1:6
Lets assume time taken by A = x.
and time taken by B = 6x.
According to the question, A take 100 days less.
=> 6x-x=100 .
=> x=20.
So, A takes 20 days and B takes 120 days to complete the work.
A's 1 day work = 1/20.
B's 1 day work = 1/120.
(A+B)'s 1 day work = 1/20 + 1/120 = 7/120.
Therefor, total time taken by A & B = 120/7 days.
Workspace
NA
SHSTTON
10
Solv. Corr.
15
Solv. In. Corr.
25
Attempted
0 M:0 S
Avg. Time
56 / 90
Choose the correct option.
A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternatively, A beginning, in how many days, the work will be completed?
(A+B)'s 2 days work = (1/9 + 1/12)= 7/36
(A+B)'s 10 days work = 10/2 *7/36 = 35/36
So, remaining work (1- 35/36) = 1/36
its done by A in 9* 1/36 = 1/4 day
Total time = 10 +1/4 = 41/4 days.
Workspace
NA
SHSTTON
4
Solv. Corr.
22
Solv. In. Corr.
26
Attempted
0 M:0 S
Avg. Time
57 / 90
Choose the correct option.
Sixteen men complete a work in 24 days while 48 children can do it in 16 days. Twelve men started the work, after 14 days 12 children joined them. In how Many days will all of them together complete the remaining work?
Work complete by 12 men in 14 days = 12*14/(24*16) = 7/16
So, Remaining work = 9/16
Work complete by 12 men & 12 children = (12/(24*16)) + 12/(48*16) = (1/32 + 1/64) = 3/64
No. of days = (work complete by 12 men & 12 children / remaining work).
= (3/64)/(9/16) =
Hence answer = 12 days.
Workspace
NA
SHSTTON
12
Solv. Corr.
11
Solv. In. Corr.
23
Attempted
0 M:0 S
Avg. Time
58 / 90
Choose the correct option.
A printer started its work at 8.15 a.m. and ended its work at 9.20 p.m. It was interrupted twice for the time duration of 42 min. It can print 100 instructions per hour. Approximate how many instructions it can print?
Time duration from 8.15 am to 9.20 pm = 13 hours 5 min = 785 minutes
stoppage for 2*42 min= 84 min
effective running time = 701 min
in 60 min 100 instructions are printed
in 1 min = 100/60 instructions
in 701 min , we have 701*100/ 60 = 1168.33 instructions
Workspace
NA
SHSTTON
6
Solv. Corr.
19
Solv. In. Corr.
25
Attempted
0 M:0 S
Avg. Time
59 / 90
Choose the correct option.
A printer can print 17000 billing statements in an hour .one day, the printer began printing at 1.26 A.M, the printing was interrupted twice.for 50 mins each time .the job was finished at 6.06 pm. How many statements did the printer?
1:26-6.06= 16.80 hrs. = 1040 minutes
Printer was interrupted twice for 2 minutes
there for 50*2=100 minutes
printed worked for 1040-100 = 940 minutes.
60 minutes----------17000 statements
1 minute--------------17000/60
940 minutes-------- 17000 x 940/60 = 266,333 statements per minute
Workspace
NA
SHSTTON
26
Solv. Corr.
49
Solv. In. Corr.
75
Attempted
3 M:25 S
Avg. Time
60 / 90
Choose the correct option.
If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days?
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