Three pipes p,q,r p takes half time as pipe q alone or one third as pipe r. 3 pipes start and q I closed after 1/2 hr and p,r fills the remaining 1/12 tank in 3.75 minutes find p alone ?
Let p:q:r x:2x:3x in 1 minute p,r fills
1/x+1/3x=4/3x then 4/3x*3.75 =1/12 the x=60 then answer 1 hr
A alone can do in 36 days . A starts works for 6days then b-10 days,c-8 days remains A+B-6days and c is 300% faster than b which day work completed ?
36 a work
36a=6a+10b+8c+6(a+b). And c=4b
36a=12a+48b the. A=2b then
36a/a+b+c =36*2b/7b ans 11days approx
A finish in 18days and a left after working n days and then b completed the rest of work then total work completed in 21 days and a is 20% more efficient than b the n?
18a=A(n) +b(21-n). Let b=5 and a=6
18*6=6n +105 -5n
N=3
Project x,y,z follow an al y take 8hrs more than x ,z take 16hrs more than y and if x takes 16hrs ,y takes 8hrs and then z takes x hrs find x
Let x:y:z =t:t+8:t+24 then
1/t+1/t+8+1/t+24
Then 2/t+8 =1/t+1/t+24
The t is 24
Then put values and is 24
Whenever two workers have times t + a and t + b and together do the same work as the faster one alone (time = t),
t = \sqrt{a times b}
✅ Here a = 18, b = 8, so t = \sqrt{18 \times 8} = 12.
