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If 3 machines can produce 150 units in 5 hours, how many units can 6 machines pr

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Question: If 3 machines can produce 150 units in 5 hours, how many units can 6 machines produce in 2 hours?

Options:

  1. 60 units
  2. 90 units
  3. 120 units
  4. 150 units

Correct Answer: 120 units

Solution: 

Rate of production = 150 units / 5 hours = 30 units/hour for 3 machines. For 6 machines, rate = 60 units/hour. In 2 hours, they produce 60 * 2 = 120 units.

If 3 machines can produce 150 units in 5 hours, how many units can 6 machines pr

Practice Questions

Q1
If 3 machines can produce 150 units in 5 hours, how many units can 6 machines produce in 2 hours?
  1. 60 units
  2. 90 units
  3. 120 units
  4. 150 units

Questions & Step-by-Step Solutions

If 3 machines can produce 150 units in 5 hours, how many units can 6 machines produce in 2 hours?
  • Step 1: Find the rate of production for 3 machines. Divide the total units produced by the total hours: 150 units / 5 hours = 30 units per hour for 3 machines.
  • Step 2: Find the rate of production for 1 machine. Since 3 machines produce 30 units per hour, divide by 3: 30 units/hour / 3 machines = 10 units per hour for 1 machine.
  • Step 3: Find the rate of production for 6 machines. Multiply the rate of 1 machine by 6: 10 units/hour * 6 machines = 60 units per hour for 6 machines.
  • Step 4: Calculate how many units 6 machines can produce in 2 hours. Multiply the rate of 6 machines by 2 hours: 60 units/hour * 2 hours = 120 units.
  • Rate of Production – Understanding how to calculate the rate of production based on the number of machines and time.
  • Proportionality – Applying the concept of proportionality to determine how changes in the number of machines affect output.
  • Unit Conversion – Converting the production rate to find the total output over a specified time.
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