I am really stuck on how to figure this answer out, could you please help me?
A stoplight flashes red for 50seconds, yellow for five seconds, and green for 65 seconds. In a 24 hour period, how long is the light red?
It is red 50/(50 + 5 + 65) = 5/12 of the time
5/12 of 24 hours is 10 hours.
Thank you
That helped Me
helped me too! nice name btw
Of course, I'd be happy to help you figure out the answer!
To determine how long the light is red in a 24-hour period, we need to calculate the number of cycles the stoplight goes through and then multiply it by the duration of the red phase.
First, let's find out how many cycles the stoplight goes through in 24 hours. Each cycle consists of the red, yellow, and green phases, which add up to 50 + 5 + 65 = 120 seconds.
To convert 24 hours into seconds, we need to multiply it by the number of seconds in an hour: 24 hours × 60 minutes × 60 seconds = 86,400 seconds.
Next, we divide the total number of seconds in 24 hours by the duration of a single cycle: 86,400 seconds ÷ 120 seconds = 720 cycles.
Lastly, we multiply the number of cycles by the duration of the red phase: 720 cycles × 50 seconds = 36,000 seconds.
Therefore, the light is red for 36,000 seconds in a 24-hour period.