A & B one day work = 1/8
A alone one day work = 1/12
B alone one day work = (1/8 - 1/12) = ( 3/24 - 2/24)
=> B one day work = 1/24
so B can complete the work in 24 days.
Workspace
NA
SHSTTON
185
Solv. Corr.
401
Solv. In. Corr.
586
Attempted
1 M:59 S
Avg. Time
2 / 6
Choose the correct option.
P, Q and R are three typists who working simultaneously can type 216 pages in 4 hours. In one hour, R can type as many pages more than Q as Q can type more than P. During a period of five hours, R can type as many pages as P can during seven hours. How many pages does each of them type per hour ?
x can do 1/4 of work in = 10 days
so x can do whole work in = (10 x 4) = 40 days.
Y can do (40% or 40/100)of work in = 40 days
so Whole work can be done by Y = (40x100/40)= 100 days.
Z can do 1/3 of work in = 13 days
Whole work will be done by Z in (13 x 3) = 39 days.
so compare x , y ,z work compare = y > x > z
so Z can complete the work first.
Workspace
NA
SHSTTON
203
Solv. Corr.
263
Solv. In. Corr.
466
Attempted
1 M:18 S
Avg. Time
4 / 6
Choose the correct option.
A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job ?
So whole work will be done by A = (20 x 3) = 60 days.
Workspace
NA
SHSTTON
120
Solv. Corr.
273
Solv. In. Corr.
393
Attempted
4 M:11 S
Avg. Time
5 / 6
Choose the correct option.
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work ?
(A & B)'s 1 day work = 1/30
(B & C)'s 1 day work = 1/24
(C & A)'s 1 day work = 1/20
so 2 (A + B + C)'s 1 day's work = (1/30+1/24+1/20) = 15/120 = 1/8
=> (A + B + C)'s 1 day's work = 1/16
Work done by A, B and C in 10 days = (10*1/16) = 5/8
so left work = (1?5/8)=3/8
A's 1 day's work (1/16?1/24)=1/48
=> 1/48 part of work is done by A = 1 day.
So, 3/8 part of work will be done by A = (48?3/8) = 6*3 = 18 days.
Workspace
NA
SHSTTON
163
Solv. Corr.
249
Solv. In. Corr.
412
Attempted
6 M:17 S
Avg. Time
6 / 6
Choose the correct option.
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone ?
A's 1 day's work = x
and B's 1 day's work = y
So (A & B) 1 day work = 1/30 => x+y =1/30
=> 30x + 30y = 1 -------- (1)
So 16x + 44y = 1 -------- (2)
By Solving above two equations,
x = 1/60 and y = 1/60
B's 1 day's work = 1/60
Hence, B alone shall finish the whole work in 60 days.
Workspace
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