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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 ?

a) 50000 metres
b) 100000 metres
c) 150000 metres
d) 200000 metres

Answer: b
Explanation: 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
$$\eqalign{ & = \left( {300000 – 200000} \right) \cr & = 100000{\text{ metres}} \cr} $$

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