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The scale drawing shows the positions of two boats, P and Q - OCR - GCSE Maths - Question 9 - 2019 - Paper 1

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Question 9

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The scale drawing shows the positions of two boats, P and Q. Scale: 1 cm represents 4 km (a) Find the actual distance between boat P and boat Q.

Worked Solution & Example Answer:The scale drawing shows the positions of two boats, P and Q - OCR - GCSE Maths - Question 9 - 2019 - Paper 1

Step 1

Find the distance between P and Q on the drawing

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Answer

Measure the distance between points P and Q on the drawing. Let's assume the measured distance is x cm.

Step 2

Convert the measured distance to actual distance

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Answer

Using the scale where 1 cm represents 4 km, the actual distance can be calculated as:

extActualdistance=ximes4extkm ext{Actual distance} = x imes 4 ext{ km}

Therefore, if x is 3 cm, then the actual distance is:

extActualdistance=3imes4=12extkm ext{Actual distance} = 3 imes 4 = 12 ext{ km}

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