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Two workers A and B manufactured a batch of identical parts. A worked for 2 hours and B worked for 5 hours and they did half the job. Then they worked together for another 3 hours and they had to do (1/20)th of the job. How much time does B take to complete the job, if he worked alone?
A) 24 hours
B) 12 hours
C) 15 hours
D) 30 hours
Read Solution (Total 6)
-
- 15 hrs
if A can complete work alone in a days
and
B can complete work alone in b days, then
2/a = 5/b = 1/2 or 1/a +5/2b = 1/4 ........... (1)
and
3/a +3/b= 1/2 - 1/20 = 9/20 or 1/a +1/b = 9/60 .... ( 2)
From (1) and (2)
b=15 hrs and a= 12 hrs - 11 years agoHelpfull: Yes(41) No(5)
- if A can do work alone in x days and B in y days
then 2/x+5/y=1/2
3(1/x+1/y)=1/2-1/20=9/20... on solving both eq ans is 15 hrs - 11 years agoHelpfull: Yes(25) No(2)
- option c 15 hours
- 11 years agoHelpfull: Yes(2) No(6)
- garima how u make the equation 3/a+3/b=1/2-120.
what is the meaning of 1/20th work
- 11 years agoHelpfull: Yes(2) No(1)
- 15 is ri8 ans
- 11 years agoHelpfull: Yes(0) No(2)
- The answer is 15 hours
- 3 years agoHelpfull: Yes(0) No(0)
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