Aptitude Discussion

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 |

**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.**

**Sravan Reddy**

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**Sathya**

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

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.

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