There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are same. At 2:00 p.m, they together turn green. At what time will they change to green next, simultaneously ?

(UPSC CSAT – 2023)

  1. 4:00 p.m.
  2. 4:10 p.m.
  3. 4:20 p.m.
  4. 4:30 p.m.

Solution: Ans.(2)

Time taken by three signals to change green to green again are:

1st signal : 25 sec. × 2 = 50 sec.

2nd signal : 39 sec. × 2 = 78 sec.

3rd signal : 60 sec. × 2 = 120 sec.

LCM = 7800 sec. = 2 hours 10 min.

2:00 p.m. + 2 hours 10 minutes = 4:10 p.m.

All the signals will change again green at 4:10 p.m.

Comments

No comments yet. Why don’t you start the discussion?

Leave a Reply

Your email address will not be published. Required fields are marked *