Monday, April 5, 2010

Whole Number P6 2009 SA1 P2 RGS Q12

12. Alex, Ben and David went for a run but none of them completed the run.
Ben ran 5 times as far as Alex before he stopped.
David stopped 1 km before the finishing line and he ran 3 km less than twice the distance Ben ran. The three of them ran 21 km, how long was the run? [4]


[ ]                                  )
[ ][ ][ ][ ][ ]                      )  21 km
D  [                    ]<  3  >     )
     [                    ]<1> Finishing line  
2B [ ][ ][ ][ ][ ][ ][ ][ ][ ][ ]

16 u -- > 21 + 3 = 24
1 u -- > 24 ÷ 16 = 1.5

10 u -- > 10 x 1.5 = 15

15 – 3 + 1 = 13 km


The run was 13 km long.

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