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 10 hours?

Options:

Correct Answer: 600 units

Solution:

3 machines produce 150 units in 5 hours, so 6 machines will produce 300 units in 5 hours. In 10 hours, they will produce 600 units.

If 3 machines can produce 150 units in 5 hours, how many units can 6 machines produce in 10 hours?

If 3 machines can produce 150 units in 5 hours, how many units can 6 machines produce in 10 hours?

Step 1: Understand that 3 machines produce 150 units in 5 hours.
Step 2: Find out how many units 1 machine produces in 5 hours. Divide 150 units by 3 machines: 150 / 3 = 50 units per machine.
Step 3: Now, find out how many units 6 machines can produce in 5 hours. Multiply the units produced by 1 machine by 6: 50 units * 6 = 300 units.
Step 4: Next, determine how many units 6 machines can produce in 10 hours. Since 10 hours is double 5 hours, multiply the 300 units by 2: 300 units * 2 = 600 units.

Proportional Relationships – Understanding how the number of machines and time affects the total production output.
Unit Rate Calculation – Calculating the production rate per machine and scaling it based on the number of machines and time.