two cars start to drive around two Km trackat the same time.carX MAKES ONE lap every 80second,while CarY make one lap every 60second.
How long will it take for two cars to be at their starting position again?give answer in minutes.
80*3 = 60*4 = 240
To find out when both cars will be at their starting position again, we need to calculate the time it takes for the two cars to complete a full lap together.
Let's find the least common multiple (LCM) of the two times it takes for each car to complete one lap.
Car X takes 80 seconds to complete one lap.
Car Y takes 60 seconds to complete one lap.
The LCM of 80 and 60 can be found by multiplying the prime factors of each number, taking the highest power of each factor:
80 = 2^4 * 5
60 = 2^2 * 3 * 5
LCM = 2^4 * 3 * 5 = 240 seconds.
Now we convert the time from seconds to minutes:
1 minute = 60 seconds
240 seconds ÷ 60 seconds/minute = 4 minutes
Therefore, it will take 4 minutes for both cars to be at their starting position again.