In a factory, there are three machines: Machine A, Machine B, and Machine C. Machine A can produce 2,000 widgets in 5 hours. Machine B can produce 3,000 widgets in 6 hours. Machine C can produce 4,000 widgets in 8 hours. If all three machines work together, how many widgets will they produce in 3 hours?
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Verified answer
Step-by-step explanation:
[tex] \: \:
rate \: \: machine \: a \: = 2000 \div 5 = 400 \: widgets\h[/tex]
[tex] \: rate \: machine \: b = \: 3000 \div 6 \: = \: 500 \: widgets \h[/tex]
[tex] \: \: rate \: machine \: c = \: 4000 \div 8 \: = \: 500 \: widgets \h
[/tex]
• Rate of 3 Machine working together
• Independently = 500+500+400 = 1400/3
• 1400/3 - 300 = 140/3
• so Machine produce 140 widgets in 3hrs .
Step-by-step explanation:
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