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A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?
  • a)
    30
  • b)
    24
  • c)
    20
  • d)
    60
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A red light flashes three times per minute and a green light flashes f...
A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. So red light fashes after every 1/3 min and green light flashes every 2/5 min. LCM of both the fractions is 2 min.
Hence, they flash together after every 2 min. So in an hour they flash together 30 times.
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Community Answer
A red light flashes three times per minute and a green light flashes f...
Calculation of Flashing Times:
1. The red light flashes 3 times per minute, so in an hour (60 minutes), it will flash 3 x 60 = 180 times.
2. The green light flashes 5 times in 2 minutes, which means it flashes 2.5 times per minute. So, in an hour, it will flash 2.5 x 60 = 150 times.

Calculating the Number of Times They Flash Together:
1. To find out how many times both lights will flash together in an hour, we need to find the least common multiple (LCM) of their flashing intervals.
2. The red light flashes every 1/3 minutes, and the green light flashes every 1/2.5 minutes. The LCM of 3 and 2.5 is 15.
3. Therefore, both lights will flash together every 15 minutes.
4. In an hour, there are 60 minutes, so the number of times they will flash together in an hour is 60/15 = 4 times.

Final Answer:
Therefore, the correct answer is option A
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