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# Arithmetic Aptitude :: Time and Work

Home > Arithmetic Aptitude > Time and Work > General Questions

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81. A constructor estimates that 3 people can paint Mr khans house in 4 days. If he uses 4 people instead of 3,how long will they take to complete the job?

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Explanation:

Formula M1*D1 = M2*D2
3*4 = 4*x
=> x = 3 days

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Tags:  Cognizant

82. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

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Explanation:

Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.
Then, 10 : 13 :: 23 : x
=> x = (23 * 13)/10
=> x = 299/10

A's 1 day's work = 1/23
B's 1 day's work = 10/299
(A + B)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 .

So, A and B together can complete the work = 13 days.

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83. 8 man work for 6 days to complete a work. How many men are required to complete same work in 1/2 day.

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Explanation:

To complete a work for 6 days, 8 men require
For complete a work for 1 day = 6*8 = 48 men
For complete a work in half a day(1/2) = 48*2 = 96 men

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Tags:  CGI

84. A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?

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Explanation:

Given A works trice as much as B
So the ratio between A and B = 3:1
so 3x-x=60
and x = 30
so 1/90+1/30=221/2 days

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Tags:  CGI

85. A can complete a piece of work in 8 hours, B can complete in 10 hours and C in 12 hours. If A,B, C start the work together but A laves after 2 hours. Find the time taken by B and C to complete the remaining work.

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Explanation:

A=8 hrs ,B=10 hrs ,C= 12 hrs
Work done by them together in 1hr=1/8+1/10+1/12= 37/120
In 2hrs=37/60. Work left= 23/60
Now A left after 2 hrs so remaining 23/60 will be done by B & C together.
If B & C work together in 1 hour they can do 1/10+1/12=11/60
So 11/60 in 1 hr. So 1 in 60/11 hr.
Therefore 23/60 in 23/60 * 60/11= 23/11hours.

Workspace

Tags:  TCS

86. Tony alone can paint a wall in 7 days and his friend Roy alone can paint the same wall in 9 days. In how many days they can paint the wall working together? Round off the answer to the nearest integer.

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Explanation:

use formula (xy / x+y)
So nearest value for 3.93 = 4

Workspace

Tags:  TCS

87. 4 men can check exam papers in 8 days working 5 hours regularly. What is the total hours when 2 men will check the double of the papers in 20 days?

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Explanation:

Let a man can do 1 unit of work in 1 hour.
Total units of work = 4 * 8 * 5 = 160 units.
Now work = 2 * 160 = 320 units.
Now 2 men work for 20 days. Let in x hours they have to work per day.
Now total work = 2*x*20 = 40 x
40x = 320 So x = 320/40 = 8 hours.

Workspace

Tags:  TCS

88. George can do some work in 8 hours: Paul can do some work in 10 hours while Hari can do the same work in 12 hours. All the three of them start working at 9 a.m. while George stops work at 11 a.m. and the remaining two complete the work. Approximately at what time the work be finished?

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Explanation:

Chocolate method : Take Lcm of george,paul and Hilllari we get LCM(8,10,12)=120
Let the no of chocolates are 120 in that
George can eat 15 chocolates/hr
paul can eat 12cho/hr
Hillari can eat 10cho/hr
total choclates they can eat in 1 hr =Paul + George+hillari=15+12+10=37choclates
for 9:00 to 11:00 difference -2hrs
so for 2 hrs they can eat 37*2=74
George left after 11 remaing choclates are 120-74=46
Paul and hillari can eat=12+10=32/hr
=46/32 =2 hrs approx so ans is 11:00 + 2hrs =1:00 pm

Workspace

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89. 2 workers, one young and one old, live together and work at the same office. It takes 20 minutes for the young man to walk to office. The old man takes 30 minutes for the same distance. When will the young man catch up with the old man if the old man starts at 10:00 a.m. and the young man start 10:05 a.m.?

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Explanation:

Time ratio is 3:2, so
3 min for old = 2 min fro young
1 min for old = 2/3 min fro young
Now we will take multiple of 3 both side,
3 min for old = 2 min fro young
6 min for old = 4 min fro young
9 min for old = 6 min fro young
12 min for old = 8 min fro young
15 min for old = 10 min fro young and so on
Now the difference of time to start for old and young is 5 min. So when they meet then old will take 5 minute more than young ( or their time difference should be 5 min) which is given by only
15 min for old = 10 min fro young
So at 10:15 for old and for young it is 10:05 + 10 min = 10:15

Workspace

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90. A,B ,C can do some work in 36 days. A and B together do twice as much work as C can do alone, and A and C together can do thrice as much work as B alone can do. Find the time taken by C to do whole work?

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Explanation:

Given A, B and C can do some work = 36 days.

=> (A+B+C) can do work in 1 day = 1/36
=> (A+B+C) = 1/36 -----------------(i)
Given (A+B) = 2C ----------------(ii)

From eq. (i)and(ii)
3C = 1/36
C = 1/108

=> C takes 108 days to complete whole work alone.

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Tags:  TCS