P can complete a piece of work in 18 days, while Q can complete the same work in 36 days. If both P and Q work together, in how many days will they be able to complete the entire work?
A
18 days
B
12 days
C
36 days
D
6 days
উত্তরের বিবরণ
Question: P can complete a piece of work in 18 days, while Q can complete the same work in 36 days. If both P and Q work together, in how many days will they be able to complete the entire work?
Solution:
Given that,
P can do a piece of the work in 18 days and Q can do same work in 36 days
Now,
Let the total work = LCM(18, 36) = 36
Hence, total work = 36 units
Thus,
P does each day = 36 ÷ 18 = 2 units
Q does each day = 36 ÷ 36 = 1 unit
Hence, time taken by them to finish the work together = 36 ÷ (1 + 2) = 12 days.
∴ In 12 days working together they will complete the entire work.
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Updated: 2 months ago
If P and Q together can complete a piece of work in 16 days and P alone in 24 days, in how many days can Q alone complete the work?
Created: 2 months ago
A
72 days
B
48 days
C
42 days
D
36 days
Question: If P and Q together can complete a piece of work in 16 days and P alone in 24 days, in how many days can Q alone complete the work?
Solution:
P and Q complete a work in = 16 days
One day's work of (P + Q) = 1/16
P complete the work in = 24 days;
One day's work of P = 1/24
Then, Q's one day's work = (1/16) - (1/24)
= (3 - 2)/48
= 1/48
So, Q alone can complete the work in = 48 days.
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Updated: 2 months ago
If Rafi and Suman together can complete a job in 12 days. If Rafi alone can finish the job in 20 days, in how many days can Suman alone complete the work?
Created: 2 months ago
A
25 days
B
60 days
C
45 days
D
30 days
Question: If Rafi and Suman together can complete a job in 12 days. If Rafi alone can finish the job in 20 days, in how many days can Suman alone complete the work?
Solution:
Rafi and Suman together can complete a piece of work in 12 days
Rafi and Suman together can complete in 1 day = 1/12
Rafi alone in 20 days
Rafi alone in one day = 1/20
∴ Suman complete in one day = (1/12) - (1/20)
= (5 - 3)/60
= 2/60
= 1/30
∴ Suman can complete the work in 30 days
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Updated: 2 months ago
3/7 part of the tank is full of water. When 42 liters of water is taken out, the tank becomes empty. The capacity of the tank is -
Created: 2 months ago
A
82 liters
B
66 liters
C
78 liters
D
98 liters
Question: 3/7 part of the tank is full of water. When 42 liters of water is taken out, the tank becomes empty. The capacity of the tank is -
Solution:
Let us consider,
The tank has 7x liters of total capacity and holds 3x litres of water.
And if 42 liters of water is taken out, then the tank becomes empty.
It means 3x litres of water is taken out.
∴ 3x = 42 liters
⇒ x = 14 liters
∴ Capacity of tank = 7x = 7 × 14 = 98 liters
0
Updated: 2 months ago
