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During February 2017 tropical storm Dineo caused damage to property in Mozambique, but it also brought much needed rain - NSC Mathematical Literacy - Question 4 - 2017 - Paper 2

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During February 2017 tropical storm Dineo caused damage to property in Mozambique, but it also brought much needed rain. Below is a chart issued by Meteo France (the... show full transcript

Worked Solution & Example Answer:During February 2017 tropical storm Dineo caused damage to property in Mozambique, but it also brought much needed rain - NSC Mathematical Literacy - Question 4 - 2017 - Paper 2

Step 1

Convert maximum average wind speed of 95 miles per hour to kilometers per hour

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Answer

To convert miles per hour to kilometers per hour, we use the conversion factor:

1extmile=1.60934extkilometers1 ext{ mile} = 1.60934 ext{ kilometers}

Thus,

95extmiles/hour=95imes1.60934=152.8873extkm/h95 ext{ miles/hour} = 95 imes 1.60934 = 152.8873 ext{ km/h}

Rounding off to TWO decimal places gives:

152.89extkm/h152.89 ext{ km/h}

Step 2

Calculate the average speed of the storm from point P to Q

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Answer

Given the distance between gridlines is approximately 205,043 km, and the distance between points P and Q is 39 gridlines (as measured on the map), the actual distance from P to Q can be calculated as:

extDistancefromPtoQ=205,043extkm/gridlineimes39extgridlines=7,996,677extkm ext{Distance from P to Q} = 205,043 ext{ km/gridline} imes 39 ext{ gridlines} = 7,996,677 ext{ km}

Assuming the time taken for the storm to travel from point P to Q is approximately 24 hours, we can calculate the average speed:

Using the formula:

ext{Average Speed} = rac{ ext{Distance}}{ ext{Time}}

ightarrow 333,194 ext{ km/h}$$

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