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QUESTION

Math Kangaroo Question

Mark and Liza stand on opposite sides of a circular fountain. They then start to run clockwise round the fountain. Mark’s speed is 9/8 of Liza’s speed. How many circuits has Liza completed when Mark catches up with her for the first time

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**** and **** ***** ** ******** sides ** * ******** ******** **** then ***** ** run ********* round *** fountain Mark’s speed ** *** ** Liza’s ***** *** many ******** has **** ********* **** Mark ******* ** **** *** *** the first timeLet *** ************* of the ****** be one ******* ******** ******* them ** ********* * unit **** *** ***** ** liza ** L then the ***** ** **** ** **** Mark **** the ***** ***** ** ***** ****** * *** ** cover the distance ******* **** *** ***** * distance ***** **** * distance/speed ** **** a speed difference ** L/8 ** will take they *********** ** ***** ** * 8/LRecall * distance * ***** * **** So at **** **** *** **** **** ******* *** xL * 8 ********** mark covers 8/L ***** ** ************** ** *********** ********** *** can *** **** approachIf the ***** ** **** =L **** *** ***** ** **** ***** then the distance ******* ** * circuitThen **** ***** ** * **** **** **** * * * * ******* *** **** ** *** ***** ** L ** L/8 =1? L * * ** ** ** **** **** **** **** * **********

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