When you think of time, you may look at your clock to see what time it is. Say the clock reads 12:25 am, and you're feeling hungry. You happen to have $11.25 in your wallet. This makes you think of the relationship between the money and time
How could money relate to time? Well, time only goes through a sixty minutes an hour. But, while the time goes, you can think, "it's a quarter past 12." This would represent 12:25 p.m.
A quarter is money, and it was a quarter past 12. That is one way you could relate time to money. You could say, 11:25, 10:25, 9:25, and it could still mean a quarter past 11, 10, 9. "Quarter doesn't have the same meaning for both different terms, but we use the same vocabulary for both!
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Answer:
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Explanation:
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Let
x = minutes used for jogging
y = minutes used for handball
z = minutes used for cycling
Th total time spent is 1 hour (60 minutes), therefore
x + y + z = 60
Because Mike jogs as long as he cycles, therefore
x = z
Therefore
2x + y = 60
or
y = 60 - 2x (1)
Jogging consumes 10 calories/min, handball consumes 9 calories/min and cycling consumes 12 calories/min.
The calories consumed in 60 minutes is 580, therefore
10 x + 9y + 12z = 580
Because x = z,
22x + 9y = 580 (2)
Substitute (1) into (2).
22x + 9(60 - 2x) = 580
22x + 540 - 18x = 580
4x = 40
x = 10
y = 60 - 2x = 40
z = x = 10
Answer:
10 minutes of jogging
40 minutes of handball
10 minutes of cycling.