Quote:
Now imagine the question is "at 15 mph, how far do you travel in 2 hours 54 minutes?"
In this case, since 54 is not straightforward, you need to find a relation between 54 and the hour, like I've done with the 4 minutes in the other example. In that example, I used 4 = 12 / 3. Now you should use 6 * 9 = 54. As 6 is 1/10 of an hour, 54 minutes is 1/10 * 9 = 9/10 of an hour. So, in 54 minutes, you travel (54 * 9) / 10 = 48.6 miles. Now just add this to the other 30 miles (15 mph * 2 hours) and you get 78.6 miles.
In the end, I just think you need to choose the method which will save you more time.
I hope this helps.
Great post but you've made a slight error here, the good thing is that it is really quite easy to spot if you think about it.
You've said that "in 54 minutes you travel (54 * 9) / 10 = 48.6 miles". But we already know that we were travelling with 15mph, so in less then one hour there's now way we can have travelled more than 15 miles.
The correct answer should be that in 54 minutes you travel 13.5 miles (15 miles per hour, and 54 minutes is 9/10 of an hour. So therefore I substracted 1.5 from 15 and got 13.5).
So final answer is 30+13.5=43.5 miles in 2 hours and 54 minutes (notice this is very close to 45 miles that you would travel in 3 hours, so the answer makes sense).
Guys,
Can I just run my interpretation of this by you to make sure my notes are correct and im revising the right thing...
In 2 hours, travel is 15 x 2 = 30 Miles.
6 Mins = 1/10 of an hour
54 Mins = 9/10 of an hour (9x6 = 54)
15 Miles in an hour (10/10)
Divide 15 by 10 to get 1/10
1/10 is equal to 1.5
Subtract 1.5 from 15 which equals 13.5 Miles
30 + 13.5 = 43.5 Miles
Answer = 43.5 Miles