An electric vehicle consumes 0.35 kilowatt-hours (\text{kWh}) of electricity per mile trav… — SAT

An electric vehicle consumes $0.35$ kilowatt-hours ( $\text{kWh}$ ) of electricity per mile traveled. The vehicle travels at a constant speed of $48$ miles per hour. What is the vehicle's rate of electricity consumption, in $\text{kWh}$ per minute?

Cevap: 0.28 kWh per minute

Cevap

0.28

To find the rate of electricity consumption in kilowatt-hours (

\text{kWh}

) per minute, we must convert the given rate of

0.35\text{ kWh}

per mile into

\text{kWh}

per minute. First, convert the speed of

48\text{ miles per hour}

to miles per minute:

\frac{48\text{ miles}}{60\text{ minutes}} = 0.8\text{ miles per minute}

. Next, multiply the energy consumed per mile by the distance traveled per minute:

0.35\text{ kWh per mile} \times 0.8\text{ miles per minute} = 0.28\text{ kWh per minute}

. Therefore, the vehicle's rate of electricity consumption is

0.28\text{ kWh}

per minute.

Adım Adım Çözüm

Convert the vehicle's speed from miles per hour to miles per minute.

0.8

miles per minute

Since there are 60 minutes in 1 hour, dividing the speed in miles per hour by 60 gives the speed in miles per minute:

\frac{48\text{ miles}}{1\text{ hour}} \times \frac{1\text{ hour}}{60\text{ minutes}} = 0.8\text{ miles per minute}

Calculate the rate of electricity consumption in kWh per minute.

0.28

kWh per minute

Multiply the consumption rate per mile by the distance traveled per minute:

0.35\text{ kWh per mile} \times 0.8\text{ miles per minute} = 0.28\text{ kWh per minute}

Anahtar Kavram

Unit conversion involving rates and compound units.

Alternatif Yöntem

First, find the total electricity consumed in one hour of driving by multiplying the consumption rate per mile by the miles traveled in one hour:

0.35\text{ kWh per mile} \times 48\text{ miles} = 16.8\text{ kWh}

. Then, convert this hourly rate to a minute rate by dividing by 60 minutes:

\frac{16.8\text{ kWh}}{60\text{ minutes}} = 0.28\text{ kWh per minute}

Tahmini Süre:1m 15s

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Alternatif Yöntem

Konular

Bu konudan daha fazla soru