Latest TCS Aptitude Question SOLUTION: 8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in : a. 10 days b. 12 days c. 15 days d. 16 days

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8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in :
a. 10 days
b. 12 days
c. 15 days
d. 16 days

Asked In TCS Abhishek Kumar (10 years ago)

Solved Abhishek Kumar Read Solution (14)

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Read Solution (14) :

Abhishek Kumar  (10 years ago)

1 man = 3/2 boys, So (4 men + 9 boys )=15 boys
Also, 8 men = (3/2)×8 i.e. 12 boys
Now, 12 boys can dig the pit in 20 days.
15 boys can dig it in = (20×12)/15=16 days.

Is this solution Helpfull? Yes (60) | No (21)  

ashish  (10 years ago)

here your concern should be on the word AGAIN in "half as much AGAIN as a boy"
i.e. 1 Man = B/2 + B { i.e. what "AGAIN" is stressing here }
and rest is understandable
1 man = 3/2 boys, So (4 men + 9 boys )=15 boys
Also, 8 men = (3/2)×8 i.e. 12 boys
Now, 12 boys can dig the pit in 20 days.
15 boys can dig it in = (20×12)/15=16 days.

Is this solution Helpfull? Yes (39) | No (4)  

harish budhwani  (10 years ago)

i think the options are incorrect because it is written that a boy work double than a man means if there were 8 boys they can dig the pit in 10 days ,now there are 9 boys and 4 men also,means it would take even less than 10..which is not in the option.
I solved it and the ans is 7.27 days.
8 men do work in 1 day=1/20 work
1 men in 1 day=1/160 work
1 boy in 1 day=1/80 work
therefore 4 men and 9 boys in 1 day=4/160+9/80 work=22/160
therefore work will be completed in 160/22 days=7.27 days

Is this solution Helpfull? Yes (35) | No (12)  

Hritik Jyoti  (10 years ago)

as it is given a man works half as much again as a boy so
1 man work = 3/2 boy work
so,9 boys work = 6 men work
therefore total no. of men equivalent=4+6=10men
since 8 men do a wok in 20 days
1 man will do the same in 20*8=160 days
so,10 men will do the same in 160/10 =16 days

Is this solution Helpfull? Yes (19) | No (5)  

Sunil Agarwal  (10 years ago)

d.16 days....because they are all disco dancers and they can do it .Jai ho himesh reshmiya ki

Is this solution Helpfull? Yes (8) | No (9)  

Arun Kumar. S  (8 years ago)

Explain me how 1 men =3/2 boys

Is this solution Helpfull? Yes (6) | No   

Abhishek Kumar  (10 years ago)

@annu kumari
because 1 man=3/2 boys
so,4 men=4*3/2=6 boys
(4 men+9 boys)=(6 boys+9 boys)=15 boys

Is this solution Helpfull? Yes (5) | No (3)  

annu kumari  (10 years ago)

@abhishek kumar how come 4+9=15?????

Is this solution Helpfull? Yes (4) | No (3)  

Guru Pranav  (10 years ago)

16 days !!!

Is this solution Helpfull? Yes (2) | No (3)  

Koushik Ghosh  (10 years ago)

4*3/2*1/160 + 9/160 d)16 ddays

Is this solution Helpfull? Yes (1) | No (5)  

Suresh kumar shaw  (10 years ago)

@avishek can u explain 1man=3/2 boys

Is this solution Helpfull? Yes (1) | No (1)  

digantar kumar singh  (6 years ago)

TOTAL WORK=8*120=160
2Men = 3Boys
4men+6men=10men
160/16=16

Is this solution Helpfull? Yes (1) | No   

madhurima pramanick  (10 years ago)

20*22/8=55 days

Is this solution Helpfull? Yes | No (7)  

P Asuwini  (4 years ago)

@ashu

work=time*capacity

work done=8men*20days
a man=3/2
a boy=2/3
9 boys=(2/3)*9
9 boys=6 men

4 men + 9 boys= 4 men+6men
total =10 men

above equations work=time*capacity
8*20=days*10men
then, days= 8*20/10
days=16

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