Question

Traffic light at three different roads crossing changes after every 50 seconds 75 seconds and hundred seconds respectively if they started changing simultaneously at 8:00 a.m. after how much times will they change again simultaneously

Answer 1

Step-by-step explanation:

Find the Prime Factors:

48 = 2⁴ x 3

72 = 2³ x 3²

108 = 2² x 3³

Find the LCM:

LCM = 2⁴ x 3³

LCM = 16 x 27 = 432

Convert 432 seconds to mins:

432 seconds = 432 ÷ 60 mins

432 seconds  = 7.2 mins

7.2 mins = 7 mins 12 seconds

Find the time it will change together again:

8 am + 7 mins 12 seconds = 8.07.12 am

Answer: It will change together again at 8.07.12 am