Dev and tukku can do a piece of work in 45 and 40 days respectively THey began the work together

effeciency of Dev = 100/45 = 2.22

effeciency of tukku = 100/40 = 2.5

(2.22 + 2.5)x + 2.5*23 = 100

x=9 days....
so after 9 days dev leave the work...
10 years agoHelpfull: Yes(5) No(0)
Lets total work lcm(45,40)=360 unit
in 1 day dev do= 8 unit & tukku do= 9 unit
in 23 days tukku do = 23*9=207 units
Remaining work wll be done by dev and tukku=(360-207)/(9+8) = 10.2 days
hence dev leave after 10.2 days
10 years agoHelpfull: Yes(4) No(3)
ans: 9 daysss
10 years agoHelpfull: Yes(4) No(0)
Dev 1 day work =1/45
tukku 1 day work=1/40

both 1 day work=1/45+1/40=17/360

tukku work for 23 days =23/40

remaining work =1-23/40=17/40

17/360 work is done in 1 day
total work is done in 360/17 days
17/40 work is done in =17/40*360/17 ===9
9 years agoHelpfull: Yes(4) No(0)
1/45 (t)+1/40(23+t)=1
on solving we get
t = 9 days
10 years agoHelpfull: Yes(1) No(1)
Let Dev did work for x days then
( x / 45 ) + ( ( 23 + x ) / 40 ) = 1........ (did/can)
after solving for x, we get x=9 days.
10 years agoHelpfull: Yes(0) No(0)
x(1/45+1/40)+23(1/40)=1
x=9
after 9 days dev leaves
10 years agoHelpfull: Yes(0) No(0)
9 as no of unit per day done by developing is 8 and by tikku is 9 so in 23 days tikku will do 207 unit of work so 360-207=153unit of work will be done in 9 days so ans is 9
9 years agoHelpfull: Yes(0) No(0)

Dev and tukku can do a piece of work in 45 and 40 days respectively .THey began the work together but dev leaves after some days and tukku finished the remaining work in 23 days.After how many days did dev leave?