Two traffic lights turn red together at exactly 5:00 pm. One light is on a 36-second cycle from red back to red while the other is on a 48-second cycle. At what time will they again turn red together? Give the exact time, including seconds

Question

Mathematics

Brittany

11 December, 04:41

Two traffic lights turn red together at exactly 5:00 pm. One light is on a 36-second cycle from red back to red while the other is on a 48-second cycle. At what time will they again turn red together? Give the exact time, including seconds

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Answers (1)

Know the Answer?

Isabela Arroyo · Answer 1

5:02:24

Step-by-step explanation:

we need to find the LCM of 36 and 48.

multiples of 36: 36, 72, 108, 144

48: 48, 96, 144

the LCM is 144, so they will both be red in 144 seconds. 144 seconds is 2 minutes 24 seconds, so the time will be 5:02:24