Rohit is planning a 3 minutes display of fireworks show on diwali. He decides tyat a red firework should go off every 20 seconds and a white firework should go off every 15 seconds. The 3 minutes (180 seconds) display begins with both the red and white fireworks going off at the same time.
Que1= How many seconds will pass until both the red and white fireworks go off at the same time again? Show or explain how you found your answer.
Ans=
Que2= How many times during 3 minutes display will both the red and white fireworks go off at the same time? Show or explain how you find your answer
Ans=
Answers
Given : Rohit is planning a 3 minutes display of fireworks show on diwali. He decides tyat a red firework should go off every 20 seconds and a white firework should go off every 15 seconds. The 3 minutes (180 seconds) display begins with both the red and white fireworks going off at the same time.
To find : How many seconds will pass until both the red and white fireworks go off at the same time again
How many times during 3 minutes display will both the red and white fireworks go off at the same time
Solution:
red firework should go off every 20 seconds
white firework should go off every 15 seconds.
LCM of 20 & 15
20 = 2 * 2 * 5
15 = 3 * 5
=> LCM = 2 * 2 * 3 * 5 = 60 Sec
60 Secs = 1 MIn
60 Secs / 1 MIn will pass until both the red and white fireworks go off at the same time again
Total time = 3 Mins
3/1 = 3
3 times during 3 minutes display will both the red and white fireworks go off at the same time
or 4 times if we consider 1st one at 0 sec instead of 1 sec
0 Min , 1 Min , 2 Min , 3 Min ( 4 times )
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