Rates and productivity: Practice 1

10 original teaching questions with answers and explanations.

Instructions for this set

Use the constant-rate and identical-resource assumptions explicitly stated. Deduct stated downtime. Round required whole resources up, not to the nearest integer.

Feedback mode has no time limit or negative marking. The optional timed challenge allows 15 minutes and uses the scoring shown on its rules screen. Those settings are not official assessment rules.

Practise with feedback Optional timed challenge

  1. 1. Four identical machines produce 960 units in six hours. How many units does one machine produce per hour?
    1. 60
    2. 160
    3. 30
    4. 40

    Reference: q-12746fac-106 · Report this question

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    Answer: D. 40

    Divide 960 by four machines and six hours: 960/24 = 40 units per machine-hour.
  2. 2. Three identical packing lines each produce 45 boxes per hour. How many boxes do they produce in four hours?
    1. 540
    2. 600
    3. 180
    4. 405

    Reference: q-9a1c62b8-108 · Report this question

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    Answer: A. 540

    Output is 3 times 45 times 4 = 540 boxes.
  3. 3. An operator processes 24 records per hour. How long does 180 records take at that rate?
    1. 7 hours
    2. 7.5 hours
    3. 8 hours
    4. 6 hours

    Reference: q-8a55d3fe-88 · Report this question

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    Answer: B. 7.5 hours

    Time equals work divided by rate: 180/24 = 7.5 hours.
  4. 4. A six-hour shift includes a 30-minute break and 30 minutes of setup. A machine produces 80 units per operating hour. What is output?
    1. 480
    2. 560
    3. 400
    4. 440

    Reference: q-115e37ff-133 · Report this question

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    Answer: C. 400

    Usable operating time is six minus one = five hours. Output is 5 times 80 = 400.
  5. 5. Machine A completes a job in six hours; B completes it in three. They work together without interference. How long does one job take?
    1. 3 hours
    2. 4.5 hours
    3. 1.5 hours
    4. 2 hours

    Reference: q-9ba2bb55-134 · Report this question

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    Answer: D. 2 hours

    Combined rate is 1/6 plus 1/3 = 1/2 job per hour. One job takes two hours.
  6. 6. A sequential process can cut 120 units per hour and inspect 90. With enough input and no other limits, what is the maximum sustained finished output?
    1. 90 per hour
    2. 105 per hour
    3. 120 per hour
    4. 210 per hour

    Reference: q-d526127c-150 · Report this question

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    Answer: A. 90 per hour

    Inspection is the bottleneck at 90 per hour. Adding stage capacities would not describe a sequential process.
  7. 7. A team can process 150 requests per day. It starts with 220 pending and receives 180 new requests that day. After processing 150, what backlog remains?
    1. 180
    2. 250
    3. 400
    4. 70

    Reference: q-c9cdc283-152 · Report this question

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    Answer: B. 250

    Backlog = opening 220 plus arrivals 180 minus processed 150 = 250.
  8. 8. Each worker completes 35 checks per hour. How many whole workers are needed to complete 500 checks in two hours at this rate?
    1. 6
    2. 7
    3. 8
    4. 9

    Reference: q-4dd660ec-126 · Report this question

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    Answer: C. 8

    Each worker can complete 70 checks. 500/70 is about 7.14, so eight whole workers are required.
  9. 9. A machine has capacity of 200 units per hour but operates at 75% of that capacity for three hours. What is output?
    1. 500
    2. 600
    3. 150
    4. 450

    Reference: q-376d42a0-115 · Report this question

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    Answer: D. 450

    Effective hourly output is 200 times 0.75 = 150. Over three hours it produces 450.
  10. 10. A team completes 300 files in five hours. A process improvement increases its rate by 20%. How long will 360 files take at the improved constant rate?
    1. 5 hours
    2. 6 hours
    3. 4 hours
    4. 4.5 hours

    Reference: q-28c2eba2-151 · Report this question

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    Answer: A. 5 hours

    Original rate is 60 files per hour. Improved rate is 72. Time for 360 files is 360/72 = five hours.

Review your method

Return to the rates and productivity lesson and identify the reasoning step behind each mistake before repeating the set.

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