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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?
Correct answer is '30'. Can you explain this answer?
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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 flashes after every 1/3 min and green light flashes every 2/5 min. LCM of both the fractions is 2min.
Hence they flash together after every 2min. So in an hour they flash together 30 times.
Hence they flash together after every 2min. So in an hour they flash together 30 times.
Most Upvoted Answer
A red light flashes three times per minute and a green light flashes f...
To solve this problem, we need to find the number of times the red light and green light flash together in one hour.
Let's break down the problem step by step:
1. Find the number of times the red light flashes per hour:
- The red light flashes three times per minute.
- There are 60 minutes in an hour.
- Therefore, the red light flashes 3 x 60 = 180 times per hour.
2. Find the number of times the green light flashes per hour:
- The green light flashes five times in 2 minutes.
- There are 60 minutes in an hour, so the green light flashes (5/2) x 60 = 150 times per hour.
3. Find the number of times both lights flash together in one hour:
- To find the number of times both lights flash together, we need to find the common multiples of 180 and 150.
- The smallest common multiple of 180 and 150 is 900.
- Therefore, both lights flash together 900/180 = 5 times in one hour.
4. Check the answer:
- To verify the answer, we can calculate the total number of times both lights flash together in one hour.
- The red light flashes 180 times per hour and the green light flashes 150 times per hour.
- Therefore, the total number of times both lights flash together in one hour is 180 + 150 = 330 times.
- However, this is not the correct answer, so the initial answer of 30 times must be incorrect.
Therefore, the correct answer to the problem is not 30 times. It seems there is an error in the given answer. The correct answer should be 5 times, as explained in step 3 above.
Let's break down the problem step by step:
1. Find the number of times the red light flashes per hour:
- The red light flashes three times per minute.
- There are 60 minutes in an hour.
- Therefore, the red light flashes 3 x 60 = 180 times per hour.
2. Find the number of times the green light flashes per hour:
- The green light flashes five times in 2 minutes.
- There are 60 minutes in an hour, so the green light flashes (5/2) x 60 = 150 times per hour.
3. Find the number of times both lights flash together in one hour:
- To find the number of times both lights flash together, we need to find the common multiples of 180 and 150.
- The smallest common multiple of 180 and 150 is 900.
- Therefore, both lights flash together 900/180 = 5 times in one hour.
4. Check the answer:
- To verify the answer, we can calculate the total number of times both lights flash together in one hour.
- The red light flashes 180 times per hour and the green light flashes 150 times per hour.
- Therefore, the total number of times both lights flash together in one hour is 180 + 150 = 330 times.
- However, this is not the correct answer, so the initial answer of 30 times must be incorrect.
Therefore, the correct answer to the problem is not 30 times. It seems there is an error in the given answer. The correct answer should be 5 times, as explained in step 3 above.
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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?Correct answer is '30'. Can you explain this answer?
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