Answer :
The time taken by 5 large solar panels and 3 small solar panels to charge a car, found using the unitary method, is 576 minutes.
What is unitary method?
The unitary approach is a method for problem-solving that involves first determining the value of a single unit, and then determining the necessary value by multiplying the single unit value.
Given
Time taken by 2 large solar panels to charge a car = 240 minutes
Time taken by 2 large solar panels to charge a car
= Time taken by 6 small solar panels to charge a car = 240 minutes
The unitary method can be used to find the charging times of 1 large and 1 small solar panel.
The time taken by 1 solar panel is greater than time taken by 2 large and 6 small solar panels.
Time taken by 1 small solar panel = 240 * 6 = 1440 minutes
Time taken by 1 large solar panel = 240 * 2 = 480 minutes
Therefore the time taken by 5 large solar panels and 3 small solar panels to charge a car = (480/5)+ (1440/3) =96 + 480= 576 minutes.
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To calculate the charging time for 5 large solar panels and 3 small solar panels, we determined that 5 large panels are equivalent to 15 small panels, resulting in a combined equivalent of 18 small panels. Since 6 small panels charge the car in 240 minutes, we divide 240 by 3 (since 18 is three times the number of 6 small panels) to find that it would take 80 minutes to charge the car with the new setup.
We are given that 2 large solar panels can charge an electric car in the same time as 6 small solar panels. If 2 large solar panels can charge a car in 240 minutes, then we can calculate the charge rate of each set up. First, let's establish that the charging power of 1 large panel is equal to the charging power of 3 small panels since 2 large equals 6 small.
To find how long it would take for 5 large solar panels and 3 small solar panels to charge the car, we need to determine the combined charging power of this new configuration. Five large panels are equivalent to 5*3 small panels, which gives us 15 small panel units, plus the existing 3 small panels make a total of 18 small panel units.
Now, since 6 small panels can charge the car in 240 minutes, and we have 18 small panel units in the new configuration, we have to divide 240 minutes by the factor of the increase in panels. The factor here is 18/6, which is 3. Therefore, we divide the 240 minutes by 3 to find the new charging time, which equals 80 minutes.
