A factory produces metal rods using two machines, Machine A and Machin

Question

A factory produces metal rods using two machines, Machine A and Machine B.
 
 Machine A produces 30% more rods per hour than Machine B. 
 Working together, the two machines produce 130 rods in 2 hours.  
How many rods does Machine A produce per hour?

A. 30
B. 37
C. 39
D. 45
E. 52

harjas2222 · Answer

Idk how i did it but here is my mid explanation

Let A= 1.3x and B=x

Combined rate = 130/2 = 65

so 1.3x + x = 65
 2.3x=65, (bit the bullet and hard divided)
 x=28.26

Now i multiplied, 1.3(28.26)= 36.74.

approxed=37?

arushi118 · Answer

let rate of B = x
rate of A = 1.3x
2(1.3x + x) = 130
x = 130/4.6
So, rate of A = 1.3x = (1.3*130)/4.6 ~ 37
 B is the answer.

egmat · Answer

Let's break this down step by step.

Step 1: Set up a variable. 
Let Machine B produce  x  rods per hour.
Since Machine A produces  30%  more than Machine B, Machine A produces  1.3x  rods per hour.

Step 2: Write the equation. 
Together, they produce  x + 1.3x = 2.3x  rods every hour.
In  2  hours, they produce  130  rods total, so:

2  ×  2.3x  =  130 
 4.6x  =  130

Step 3: Solve for x. 
x =  130  ÷  4.6 
x ≈  28.26  rods per hour (this is Machine B's rate)

Step 4: Find Machine A's rate. 
Machine A =  1.3  ×  28.26  ≈  36.7 , which rounds to  37  rods per hour.

Answer: B — 37

Quick sanity check:   If Machine B makes about  28  rods/hour and Machine A makes  37  rods/hour, together that's about  65  rods/hour. In  2  hours, that's  130  rods. ✓

The most common mistake here is forgetting to account for the  2  hours.  If you set x +  1.3x  =  130  (without multiplying by  2 ), you'd get x ≈  56.5  and Machine A ≈  73.5  — which doesn't match any answer. That's your signal to re-read the problem:  130  rods in  2  hours means  65  rods per hour combined, not  130  per hour.

Adit_ · Answer

ou have 1.3x and x as the work done.
2(2.3x)=130
x=65/2.3 (DONT divide here)
A=1.3x therefore 1.3*65/2.3
Now you know 65/23 is smaller than 3 just a bit as 69/23=3
So 65/2.3 is slightly smaller than 30
Lets take 30 then we get 30*1.3=39.
So a value slightly smaller than 39 that is 37

Answer: Option B

Advait01 · Answer

Let A = 1.3 B ----- eq (1)
2 (A+B) = 130
So, A+B = 65,
Now, 2.3 B = 65 (From eq (1))
Therefore, B = 28.26, A = 36.73

A factory produces metal rods using two machines, Machine A and Machin

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A factory produces metal rods using two machines, Machine A and Machin

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