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Zorluk: OrtaUnit Rates

A tactical communications array transmits 1,8001,800 megabytes of encrypted data in 4.54.5 minutes. At this constant rate, how many megabytes of data does the array transmit in 1818 seconds?

Cevap: 120 megabytes

Cevap

120
The correct answer is derived by first establishing the transmission rate of 400400 megabytes per minute (1,800÷4.51,800 \div 4.5). Since the required timeframe is given in seconds, it must be converted to minutes (18÷60=0.318 \div 60 = 0.3 minutes). Multiplying the rate by the converted time gives 120120 megabytes.

Adım Adım Çözüm

1
Calculate the unit transmission rate in megabytes per minute.
1,800÷4.5=4001,800 \div 4.5 = 400 megabytes per minute
Finding the rate per minute allows for scaling the transmission amount to any other duration.
2
Convert the target time from seconds to minutes.
18÷60=0.318 \div 60 = 0.3 minutes
The established unit rate is in minutes, so the target time must match this temporal unit before multiplying.
3
Multiply the unit rate by the converted target time.
400×0.3=120400 \times 0.3 = 120 megabytes
Multiplying the rate (megabytes per minute) by the time (minutes) yields the total amount of data transmitted.

Anahtar Kavram

Calculating unit rates and applying time unit conversions (seconds to minutes) to solve for a specific quantity.
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Unit Rates

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