Read the scenario and fill in the blank with the correct numerical value.

Answer:A logistics team can pack

30

ration boxes in

15

minutes. Operating at this same constant rate, the team can pack 【90】 ration boxes in

45

minutes.

Because the packing rate is constant, the relationship between boxes and minutes is directly proportional. Determining the unit rate (

2

boxes per minute) and multiplying it by the target time (

45

minutes) correctly yields

90

boxes.

Calculate the unit rate of packing.

30 \div 15 = 2

boxes per minute.

To find out how many boxes can be packed in a different amount of time, it helps to first know how many boxes are packed in exactly one minute.

Multiply the unit rate by the new time.

2 \times 45 = 90

boxes.

Since the team packs 2 boxes every minute, multiplying this constant rate by 45 minutes gives the total number of boxes packed in that timeframe.

Direct Proportions

You can also solve this by setting up a direct proportion equation:

\frac{30}{15} = \frac{x}{45}

. Recognizing that

45

is exactly

3

times

15

, you can simply multiply the initial number of boxes by

3

30 \times 3 = 90

Estimated Time:45s

Question