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Numerical Ability
Time and Work
Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in
option
A)48
B)96
C)24
D)32
Read Solution (Total 32)
-
- 1/x = 1/8 - (1/16 + 1/24)
so x=48
ans = 48 days - 11 years agoHelpfull: Yes(34) No(2)
- jake=1/48 units per day
paul=1/24 units per day
ans:48
jake+paul+hari=1/8
1/48 + 1/24 + 1/x =1/8
1/x=1/48
so paul take 48 days to dig a well alone - 11 years agoHelpfull: Yes(8) No(10)
- jake does 1/16 units per day
paul does 1/24 units per day
and they togethet does 1/16+1/24+1/x=1/8
thus hari takes 48 days to complete - 11 years agoHelpfull: Yes(5) No(3)
- efficiency of jake=6.25%
efficiency of paul=4.16%
efficiency of (jake+paul+hari)=12.5%
so efficiency of hari=12.5%-(6.25+4.16)%=2.09%=48days answer(a) - 11 years agoHelpfull: Yes(2) No(0)
- Let the total work to be done is 48 meters. Now Jake can dig 3 mts, Paul can dig 2 mts a day. Now all of them combined dug in 8 days so per day they dug 48/8 = 6 mts. So Of these 8 mts, Hari capacity is 1 mt.
So he takes 48 /1 = 48 days to complete the digging job - 10 years agoHelpfull: Yes(2) No(1)
- @SAURABH KUMAR VERMA
sorry its a typing mistake
jake = 1/16 units per day - 11 years agoHelpfull: Yes(1) No(0)
- total days jake and paul took =1/16+1/24
=5/48
now,now hari dig the well alone= 1/8-5/48
= 1/48
ans= 48 days - 11 years agoHelpfull: Yes(1) No(0)
- Jake and Paul work per day =((1/16)+(1/24))
Three joined together to complete =in 8 days
So (1/16)+(1/24)+(1/X)=(1/8)
By re arranging we can get X = 48
Which is the days required by the Hari to dig alone - 9 years agoHelpfull: Yes(1) No(0)
- 1 day work of Jake = 1/16 = j
1 day work of Paul= 1/24 = p
1 day work of jake paul and hari = 1/8 =q
1 day work of hari = q-(j+p) = 1/48
Time taken by hari = 48 days - 6 years agoHelpfull: Yes(1) No(0)
- @tejaswi chitta
explain how jake is 1/48? - 11 years agoHelpfull: Yes(0) No(0)
- A.
=1/8 - 1/24 - 1/16
=1/48
so 48.
- 11 years agoHelpfull: Yes(0) No(1)
- 48,hari's work = 1/8-(1/16+1/24) = 1/48 => 48 days
- 11 years agoHelpfull: Yes(0) No(0)
- 48 days
using i day work of each - 11 years agoHelpfull: Yes(0) No(0)
- 100/16 + 100/24 +100/x = 100/8
after solving x=47.84 so ans is 48 - 11 years agoHelpfull: Yes(0) No(0)
- a)48...J+P+H=8
- 11 years agoHelpfull: Yes(0) No(0)
- ans = 48 days
- 11 years agoHelpfull: Yes(0) No(0)
- L + A = 12 ...(1)
T + L = 4 .....(2)
L + 8 = A
Taking 1 and 3, we get A = 10 and L = 2 - 10 years agoHelpfull: Yes(0) No(0)
- A)48
(1/8)-(1/16)-(1/24)=1/H
H=48 - 9 years agoHelpfull: Yes(0) No(0)
- why should we take the days in terms of fraction?
- 9 years agoHelpfull: Yes(0) No(0)
- 32
jake 2*8=16
paul 3*8=24
hari 3*8=32
- 8 years agoHelpfull: Yes(0) No(0)
- 1/16+1/24+1/x= 1/8
X=48 - 7 years agoHelpfull: Yes(0) No(0)
- A>48
(1/hari)=(1/8)-(1/16)-(1/24)
hari=48 - 6 years agoHelpfull: Yes(0) No(0)
- If Jake do work in 16days then Jake's one day work is 3.
If Paul do work in 24 days then Paul's one day work is 2.
If all three work together in 8 days then their one day work is 6.
J+P+H = 6
Substitute one day work of Jake and Paul , then
H= 6-5 = 1
Hence Hari one day work is 1 , So Hari took 48 says to complete the same work alone - 5 years agoHelpfull: Yes(0) No(0)
- jack = 1/16 and paul=1/24
jack + paul+hari= 1/8
1/6+1/24=5/48
1/8-5/48=1/48 hence answer is 48 days - 5 years agoHelpfull: Yes(0) No(0)
- ans:48
lcm of 16,24,8=48
jack=48/16=3
paul=48/24=2
jack+paul+hari=48/8=6
6-3+2=48
1=48 - 5 years agoHelpfull: Yes(0) No(0)
- ans is 48 days
- 5 years agoHelpfull: Yes(0) No(0)
- 116+124+1x = 8
5x + 48= 6x
x=48 - 5 years agoHelpfull: Yes(0) No(0)
- jake--16 days---------- /3
paul--24 days--------- 48----2
j,k,p--8 days------------/ 6
j+p+h=6
3+2+h=6
h=6-5=1
h=48/1=48 days - 4 years agoHelpfull: Yes(0) No(0)
- ans is 48
- 4 years agoHelpfull: Yes(0) No(0)
- Jake can dig well in 16days
Paul can do it in 24 days
Jake, Paul and hari have done the work in 8 days
So for 8 days jake, paul and hari are doing the work.
Jake can do work in 16 days so he completed half of the work in 8 days=1/2
lly, paul done 1/3
1-1/2-1/3=1/6 this was done by hari in the span of 8 days so to do complete work 6*8 = 48 days - 4 years agoHelpfull: Yes(0) No(0)
- x*y*z/(xy +yz + xz)
16*24*z/(16*24 +24z+ 16z) = 8
z=48 - 2 years agoHelpfull: Yes(0) No(0)
- hari is 48 days
- 2 years agoHelpfull: Yes(0) No(0)
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