Algebra
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Q.

Two spinning machines $A$ and $B$ can together produce 3,00,000 m of cloth in 10 hour, if machine $B$ alone can produce the same amount of cloth in 15 hour, then how much cloth can machine $A$ produce alone in 10 hour?

 A.

2,00,000 m

 B.

1,00,000 m

 C.

1,50,000 m

 D.

50,000 m

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Solution:
Option(B) is correct

Machines $A$ and $B$ together will produce 30,000 m of cloth in 1 hour.

Machine $B$ alone can produce 20,000 m cloth in 1 hour.

Therefore, Machine $A$ can produce 10,000 m cloth in 1 hour.

So, in 10 hour Machine $A$ can produce 1,00,000 m of cloth.

Edit: For a quicker approach, check comment by Sravan Reddy.


(3) Comment(s)


Sravan Reddy
 ()

Saving few steps...

=> Machine B -> 3,00,000 in 15 hours - so 2,00,000 in 10 hours (proportion)

=> So machine A produces rest 1,00,000 in that 10 hours



Sathya
 ()

How it is analysed that machine B alone can produce 20,000 m cloth in 1hr


Kalpana
 ()

Because in the question is is mentioned that 'machine $B$ alone can produce the same amount of cloth in 15 hour that machines $A$ and $B$ together produce in 10 hour'.

So if machines $A$ and $B$ together will produce 30,000 m of cloth in 1 hour.

Then machine $B$ alone can produce $\dfrac{30,000 \times 10}{15}=20,000$ m cloth in 1 hour.