Question

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

The Correct Option is B

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