SOLUTION: Andrew's parents follow schedule for taking care of their car. They change the oil every 3000km, rotate the tyres every 10000km and replace the wiper blades every 15000km. After ho

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Question 1135031: Andrew's parents follow schedule for taking care of their car. They change the oil every 3000km, rotate the tyres every 10000km and replace the wiper blades every 15000km. After how many kilometres will they first have to change the oil, rotate the tyres and replace the wiper blades all at once?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
assuming they get all 3 things done initially
at the same time, the least common multiple
of the 3 periods is +33000+ km
since
+30000%2F3000+=+10+
+30000%2F10000+=+3+
+30000%2F500+=+60+

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Andrew's parents follow schedule for taking care of their car. They change the oil every 3000km, rotate the tyres every 10000km and replace the wiper blades every 15000km. After how many kilometres will they first have to change the oil, rotate the tyres and replace the wiper blades all at once?
Correct answer: highlight_green%28matrix%281%2C2%2C+%2230%2C000%22%2C+km%29%29