A 12.6 volt, 8 ampere-hour battery is supplying power to a receiver that uses 50 watts and a RADAR system that uses 300 watts. How long will the battery last?

To determine how long the battery will last, we first need to calculate the total power consumption of the receiver and the RADAR system, and then compare this with the battery's capacity.

The receiver uses 50 watts and the RADAR system uses 300 watts, leading to a combined power consumption of:

Total power consumption = Power of receiver + Power of RADAR

= 50 watts + 300 watts

= 350 watts.

Next, we need to determine the battery's capacity in watt-hours. The battery is rated at 12.6 volts and 8 ampere-hours, so we can calculate its capacity using the formula:

Battery capacity (in watt-hours) = Voltage × Current

= 12.6 volts × 8 ampere-hours

= 100.8 watt-hours.

Now, we can find out how long the battery can supply power to the devices by dividing the total capacity of the battery by the total power consumption:

Battery life (in hours) = Battery capacity / Total power consumption

= 100.8 watt-hours / 350 watts

≈ 0.288 hours.

To convert hours into minutes, we multiply by 60:

Battery life (in minutes)