3 traffic lights in a city at different junctions change in 54 seconds , 72 seconds and 108 seconds. provided they all chande at 6 am. When will they change next?? With Explanation..
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The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m. at what time will they change simultaneously again?
Answer:
Given
The traffic light at three different road crossing change after every 48 seconds,72 seconds and 108 seconds, respectively.
So let us take the LCM of the given time that is 48 seconds, 72 seconds, 108 seconds
⇒ 48 = 2 × 2 × 2 × 2 × 3
⇒ 72 = 2 × 2 × 2 × 3 × 3
⇒ 108 = 2 × 2 × 3 × 3 × 3
Hence, LCM of 48, 72 and 108 = (2 × 2 × 2 × 2 × 3 × 3 × 3)
LCM of 48, 72 and 108 = 432
So after 432 seconds, they will change simultaneously
We know that
60 seconds = 1 minute
so on dividing 432 / 60, we get 7 as quotient and 12 as a reminder
Hence, 432 seconds = 7 min 12 seconds
∴ The time = 7 a.m. + 7 minutes 12 seconds
Step-by-step explanation:
hope you help
Answer:
6:9:36 am
Step-by-step explanation:
take lcm of 54 , 72 and 108 which is 216 then convert it into minutes which is 3 min 36 sec now add on 6 am ans is 6:9:36 am