Machine A paints y units in 15 minutes and machine B paints 3y units in 30 minutes. In how many minutes will A and B, working together, paint 45y units?
A
270 minutes
B
240 minutes
C
250 minutes
D
280 minutes
উত্তরের বিবরণ
Question: Machine A paints y units in 15 minutes and machine B paints 3y units in 30 minutes. In how many minutes will A and B, working together, paint 45y units?
Solution:
Machine A paints per minute = y/15 units
Machine B paints per minute = 3y/30 = y/10 units
∴ A and B together paint per minute = y/15 + y/10
= (2y + 3y)/30
= 5y/30
= y/6 units
So, to paint y/6 units, it takes 1 minute.
Hence, to paint 45y units, time needed = (45y × 6)/y = 270 minutes.

0
Updated: 1 week ago
C and D together can complete a task in 6 days. C alone can do it in 10 days. How many days would it take D to do this job alone?
Created: 1 week ago
A
10
B
15
C
12
D
18
Question: C and D together can complete a task in 6 days. C alone can do it in 10 days. How many days would it take D to do this job alone?
Solution:
C একা ১০ দিনে কাজটি করতে পারে।
∴ C এর একদিনের কাজ = 1/10
C ও D একসাথে ৬ দিনে কাজটি শেষ করে।
∴ তাদের একদিনের সম্মিলিত কাজ = 1/6
তাহলে, D এর একদিনের কাজ = 1/6 - 1/10
= (10 - 6)/60
= 4/60
= 1/15
অর্থাৎ, D এক দিনে কাজ করে 1/15 অংশ।
∴ পুরো কাজ শেষ করতে D এর সময় = 1 ÷ (1/15) = 15 দিন

0
Updated: 1 week ago
'A' can do a work in 10 days, and 'B' in 15 days. They work together for 4 days. How much of the work is left?
Created: 1 week ago
A
1/3
B
1/4
C
1/2
D
3/8
Question: 'A' can do a work in 10 days, and 'B' in 15 days. They work together for 4 days. How much of the work is left?
Solution:
মনে করি,
সম্পূর্ণ কাজ = 1 অংশ
∴ A একা একদিনে করে = 1/10 অংশ।
B একা একদিনে করে = 1/15 অংশ।
∴ A ও B একসাথে একদিনে করে = (1/10) + (1/15) অংশ
= (3 + 2)/30
= 5/30
= 1/6 অংশ
∴ A ও B একসাথে 4 দিনে করে = 4 × (1/6) অংশ
= 2/3 অংশ
∴ কাজ বাকি থাকে = 1 - (2/3) অংশ
= (3 - 2)/3
= 1/3 অংশ

0
Updated: 1 week ago
A machine produces 240 toys in 4/3 hours. How many toys can it produce in 25 minutes?
Created: 1 week ago
A
60 toys
B
75 toys
C
80 toys
D
90 toys
Question: A machine produces 240 toys in 4/3 hours. How many toys can it produce in 25 minutes?
Solution:
Given,
Time = 4/3 hours = (4/3) × 60 = 80 minutes
In 80 minutes, the number of toys produced = 240
In 1 minute, the number of toys produced = 240/80 = 3
In 25 minutes, the number of toys produced = 3 × 25 = 75
∴ The machine can produce 75 toys in 25 minutes.

0
Updated: 1 week ago