Question

Running at the same constant rate, 6 identical machines can produce a total of 180 bottles per hour. How many bottles could 15 such machines produce in 30 minutes?

• A. 225
• B. 300
• C. 250
• D. 350

Hint:

Find bottles per machine per hour, scale to 15 machines, then halve for 30 minutes.

Answer 1

The Correct Option is A

Step 1: Find the production rate of a single machine.
6 identical machines together produce 180 bottles per hour, so each machine produces 180 / 6 = 30 bottles per hour.
Step 2: Find the combined rate of 15 machines.
Since all machines work at the same constant rate, 15 machines produce 15 x 30 = 450 bottles per hour.
Step 3: Scale down from one hour to 30 minutes.
30 minutes is half an hour, so in 30 minutes, 15 machines would produce half of 450, which is 450 / 2 = 225 bottles.
Step 4: Match with the options.
225 bottles corresponds to option (1). Option (2) 300, option (3) 250, and option (4) 350 do not match the calculated value, so they are incorrect.