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Two spinning machines A and B can together produce 300000 metres of cloth in 10 hours. If machine B alone can produce the same amount of cloth in 15 hours. Then how much cloth can machine A produce alone in 10 hours ?
Answer & Solution
Correct Answer:
Option
B
Length of cloth produced by A and B in 10 hours
$$ = 300000{\text{ metres}}$$
Length of cloth produced by B in 10 hours
$$\eqalign{ & = \left( {\frac{{300000}}{{15}} \times 10} \right) \cr & = 200000{\text{ metres}} \cr} $$
∴ Length of cloth produced by A in 10 hours
$$\eqalign{ & = \left( {300000 - 200000} \right) \cr & = 100000{\text{ metres}} \cr} $$
$$ = 300000{\text{ metres}}$$
Length of cloth produced by B in 10 hours
$$\eqalign{ & = \left( {\frac{{300000}}{{15}} \times 10} \right) \cr & = 200000{\text{ metres}} \cr} $$
∴ Length of cloth produced by A in 10 hours
$$\eqalign{ & = \left( {300000 - 200000} \right) \cr & = 100000{\text{ metres}} \cr} $$
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