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A car travels for 18 minutes at an average speed of 72 km/h - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 1

Question 10

A car travels for 18 minutes at an average speed of 72 km/h. (a) How far will the car travel in these 18 minutes? David says. "72 kilometres per hour is faster th... show full transcript

Worked Solution & Example Answer:A car travels for 18 minutes at an average speed of 72 km/h - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 1

Step 1

How far will the car travel in these 18 minutes?

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Answer

To find the distance traveled, we can use the formula:

ext{Distance} = ext{Speed} imes ext{Time}

Convert time to hours: 18 minutes is equivalent to: $rac{18}{60} ext{ hours} = 0.3 ext{ hours}$
Calculate the distance: Using the speed of 72 km/h: $ext{Distance} = 72 ext{ km/h} imes 0.3 ext{ h} = 21.6 ext{ km}$

Thus, the car will travel 21.6 km.

Step 2

Is David correct?

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Answer

To determine if David is correct, we need to convert both speeds to the same unit. Let's convert 72 km/h to m/s:

Convert km/h to m/s: To convert km/h to m/s, we can use the conversion factor: $1 ext{ km/h} = rac{1000}{3600} ext{ m/s}$ Therefore: $72 ext{ km/h} = 72 imes rac{1000}{3600} ext{ m/s} = 20 ext{ m/s}$
Comparison: Since 72 km/h is equal to 20 m/s, we can conclude that David's statement is not accurate. Hence, David is not correct.

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