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Help me with this question

Help me with this question-example-1
User Skitz
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Answer:

Unit 18 Section 2 : Calculating speed, distance and time

We saw in the previous section that speed, distance and time are all related.

In this section we look at calculating distances and times using the following formulae:

Example Questions

Example Question 1

Jane drives at an average speed of 45 mph on a journey of 135 miles.

How long does the journey take?

To find a time, we need to divide distance by speed.

135 miles ÷ 45 mph = 3 hours

Example Question 2

Chris cycles at an average speed of 8 mph.

If he cycles for 6½ hours, how far does he travel?

To find a distance, we need to multiply speed by time.

8 mph × 6.5 hours = 52 miles

Example Question 3

Nikki has to travel a total of 351 miles. She travels the first 216 miles in 4 hours.

(a) What is her average speed for the first part of the journey?

To find average speed, we need to divide distance by time.

216 miles ÷ 4 hours = 54 mph

Her average speed is the same for the whole of her journey.

(b) How long does the whole journey take?

To find time, we need to divide distance by speed.

351 miles ÷ 54 mph = 6.5 hours

Practice Questions

Work out the answer to each of these questions then click on the button marked Click on this button below to see the correct answer to see whether you are correct.

Practice Question 1

Jim travels 45 miles at 15 mph.

How long does it take him?

Practice Question 2

Jemimah walks at 4 mph for 2½ hours.

How far does she walk?

Practice Question 3

Jenny drives at a constant speed. In the first three hours she travels 81 miles.

How far will she have travelled after 5 hours?

User Vivek
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23 votes

Answer:

72 mins

Explanation:

We can set a ratio of mins : miles

Since mason takes 3 minutes to drive 2 miles from his house the ratio is

3 mins : 2 miles

Using this to find the number of minutes to drive 48 miles:

3 mins : 2 miles

? mins : 48 miles

To get from 2 miles to 48 miles, multiply by 24, so do the same to the other side.

3 × 24 = 72 mins

User Amhokies
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