A woman needs to work out how long it will take to drive to York.
She checks the journey on a website.
The distance from her house to York is 80 miles.
20 miles of the journey are through roadworks with a speed restriction of 40mph.
She should drive the rest of the journey at an average speed of 50mph
____________ hours ______mins
How long should the journey take?
Show your working
Time taken _________ hours _________ minutes
Answers
Answer:
To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
Total time taken for journey is 1hr 42 mins.
Given:
Distance from house to York = 80 miles
20 miles of the journey are through roadworks with a speed restriction of 40mph.
Speed for rest journey = 50mph
To find:
Time taken for whole journey
Solution:
Time = distance/speed
Time taken for 20 miles = 20/40
= 1/2h = 1/2 * 60 mins = 30mins
Distance left = Total distance - distance covered = 80-20 = 60 miles
Time taken to cover 60 miles = distance for 60 miles / speed for 60 miles
= 60/50
= 6/5hr = 6/5 * 60mins = 6*12mins = 72 mins
Total time taken for journey = Time for 20 miles + time for 60 miles
= 30 + 72 mins
= 102 mins
= 60*1 + 42 = 1hr 42 mins
Total time taken for journey is 1hr 42 mins.
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