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Question

Mathematics Question on Time and Work

Two spinning machines A and B can together produce 3,00,000 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

2,00,000 metres

B

1,00,000 metres

C

1,50,000 metres

D

50,000 metres

Answer

1,00,000 metres

Explanation

Solution

Effciency of machine A alone =110115\frac{1}{10}-\frac{1}{15}
=3230=130\frac{3-2}{30}=\frac{1}{30}
Thus, machine A alone produce 3,00,000 metres of cloth in 30 hours
Therefore, In 10 hours, machine A alone can produce =30000030×10=10,00,000\frac{300000}{30}\times10=10,00,000 meters
The correct answer is (B) : 1,00,000 metres