HCL
Company
Numerical Ability
Time and Work
Worker W produces n units in 5 hours. Workers V and W, workers
independently but at the
same time, produce n units in 2 hours.how long would it take
V alone to produce n units?
a) 1 hr 26 min
b) 1 hr 53 min
c) 2 hr 30 min
d) 3 hr 30 min
e) 3 hr 20 min
Read Solution (Total 9)
-
- Ans. 3 hr. 20 min
V and W produce n units in 2 hours. So they produce n/2 units in 1 hour.
W produces n units in 5 hrs. So he alone produce n/5 units in 1 hr.
So V produces in 1 hr. = n/2 - n/5 = 3 n/10 units.
V produces n units in 10/3 hrs. which is 3 hrs 20 min. - 13 years agoHelpfull: Yes(31) No(1)
- n/2-n/5=3n/10
so v produces n units in 10/3 hrs means 200 min(3 hrs 20 min) - 13 years agoHelpfull: Yes(7) No(0)
- sorry i have done mistake in my solution. v will produce n units in 10/3 hours
so (e) is right - 12 years agoHelpfull: Yes(5) No(0)
- w produce n unit in 5 hours
w+v produce n units in 2 hours
so v will produce n units in=
i/v+1/w=1/v+w
1/v=1/v+w-1/w
1/v=1/2-1/5=3/10
so v alone produce n unit in 3/10 hours
so (d) is right - 12 years agoHelpfull: Yes(3) No(3)
- In 1 hr =1/5 of total work finishes(if only W work)
In 1 hr =1/2 of total work finishes (if both Work V+W)
In 1 hr = 1/2-1/5=3/10 of total work finishes (if V work)
V finishes total work in=10/3 hr=3 hr 20 min
option e)
- 12 years agoHelpfull: Yes(2) No(0)
- ans:e
w,in 5hr n units
so in 1hr n/5 units
v and w,in 2hr n units
so in 1hr n/2 units
in that n/2 units w will produce n/5 in 1hr
so balance for v is n/2-n/5=3n/10
in 1hr 3n/10 units v will produce so n units will produce by 10/3 hr
10/3P60=200 min
ie,3 hr 20 min - 12 years agoHelpfull: Yes(2) No(0)
- in 1hr=n/5
by both in 1hr=n/2
n/2-n/5=3n/10
=3hr 20min
- 12 years agoHelpfull: Yes(2) No(0)
- 1/2-1/5=3/10
taking reciprocal i.e.10/3 is d ans. - 12 years agoHelpfull: Yes(1) No(0)
- e) 3 hr 20 min
Explanation :
Let total n units be 100 unit of work.
W 's capacity will be 20 units/hr.
W + V 's capacity will be 50 units/hr.
Thus V's capacity is 30 units / hr.
So for V, to do 100 units of work, he need 100/3hr = 3 1/3 hr = 3 hr 20 min. - 8 years agoHelpfull: Yes(1) No(0)
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