Question

A train travelled along a track in 120 minutes, correct to the nearest 5 minutes.

Sue finds out that the track is 290 km long.

She assumes that the track has been measured correct to the nearest 10 km.

a) Could the average speed of the train have been greater than 145 km/h?

You must show how you get your answer and your final line must clearly

say, 'Yes' or 'No'.

(4)

(1)

Sue's assumption was wrong.

The track was measured correct to the nearest 5 km.

b) What will the new maximum average speed be in km per minute?

Give your answer correct to 2 decimal places.

km/minute

Total marks: 5

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Jack Bischoft

12 May 2022, 10:00 PM

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Answer 1

The average speed of the train cannot be greater than 145 km/h. The new maximum average speed in km per minute is approximately 2.42 km/min.

Step-by-step explanation:

Determine the average speed of the train by dividing the total distance traveled by the time taken. In this case, the train traveled a distance of 290 km in 120 minutes. To check if the average speed could have been greater than 145 km/h, we need to convert the time taken to hours. Since 120 minutes is equivalent to 2 hours, we can calculate the average speed by dividing 290 km by 2 hours, giving us an average speed of 145 km/h.

No, the average speed of the train cannot be greater than 145 km/h. The track was measured correct to the nearest 5 km. To calculate the new maximum average speed in km per minute, we need to convert the average speed from km/h to km/min. First, divide the average speed by 60 to convert it from km/h to km/min. In this case, the average speed is 145 km/h, so 145 km/h divided by 60 gives us an average speed of approximately 2.42 km/min.