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v1Measurement, STD2 M7 2021 HSC 25

A rectangular sportsground has been drawn to scale on a 1-cm grid as shown. The scale used is `1:2000`.
 

Johnny took 12 minutes to walk around the perimeter of this sportsground.

What was Johnny's average speed in kilometres per hour?  (4 marks)

--- 8 WORK AREA LINES (style=lined) ---

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`3.4 \ text{km/hr}`

Show Worked Solution
`text{Distance walked on map} \ = \ 2 times  (10 + 7) = 34 \ text{cm}`
Mean mark 54%.

 

`text{Actual distance}` ` =34 times 2000`  
  `= 68\ 000 \ text{cm}`  
  `=680 \ text{m}`  
  `= 0.68 \ text{km}`  

 
`12 \ text{minutes}\ = 12/60 = 0.2 \ text{hours}`
 

`text{Speed}` `= text{distance}/text{time}`  
  `= 0.68/0.2`  
  `= 3.4 \ text{km/hr}`  

Filed Under: Ratios (Std2-X) Tagged With: Band 5, smc-1187-40-Maps and Scale Drawings

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