Syntel
Company
Numerical Ability
Time and Work
A does half as much work as B in one third of the time. if together they take 20 days to complete a work, how much time shall B take to do it?
[A] 40 days
[C] 50 days
[B] 36 days
[D] 34 days
Read Solution (Total 7)
-
- Let B take x days to complete the work
So in 1 day B does 1/x work
A takes 2x/3 days to complete the work
In one day A does 2/3x work
Therefore (1/x)+(2/3x)=1/20;
x=50
B will do it in 50 days
- 10 years agoHelpfull: Yes(11) No(1)
- ans is 50 days
- 10 years agoHelpfull: Yes(5) No(2)
- let B work is x
A=x/2 in 1/3 rd time.... in 1 time A=3x/2
(1/x)+(2/3x)=1/20;
x=36:
B will do it in 36 days - 11 years agoHelpfull: Yes(4) No(8)
- A/(1/2)=B/(1/3)
i.e.,2A=3B
A+B= 1/20----*2
2A+2B=1/10
3B+2B=1/10
5B=1/10
B=1/50
ANS:50 Days - 10 years agoHelpfull: Yes(4) No(0)
- when B completes 2/3 of work A completes 1 work.
so, for 1 instance or one hour they both will do:(1 + 2/3).
that is 5/3
for 20 hrs they worked = (5/3 )*20
that is 100/3
B takes efficiency is 2/3 that (100/3)* (3/2)
= 50
answer is "C"
- 10 years agoHelpfull: Yes(2) No(1)
- let number of day be x for b,
time taken by a = (3*x)/2
so equation of both and finding x
x= 50 days - 10 years agoHelpfull: Yes(2) No(0)
- Let B takes x days
1/2A=B=1/3....... Therefore A's work (2/3x)
B's work =1/x
Hence, 1/x+3/2x=1/20
x=50 - 9 years agoHelpfull: Yes(0) No(0)
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