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09 Sep 2006, 06:43
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Hello
I have this question that I can't crack into simple formula usage:
X, T and Z each drive a bus on a 600 mile tri. Each person drives exactly 200 miles. X drives at an average speed of 60 miles per hour, Y at average speed of 75 mph and Z at avergae of 80mph. What fraction of total time does Z drive?
a 5/17
b 15/20
c 16/51
d 20/51
e 15/17
Thank you for your help
I have this question that I can't crack into simple formula usage:
X, T and Z each drive a bus on a 600 mile tri. Each person drives exactly 200 miles. X drives at an average speed of 60 miles per hour, Y at average speed of 75 mph and Z at avergae of 80mph. What fraction of total time does Z drive?
a 5/17
b 15/20
c 16/51
d 20/51
e 15/17
Thank you for your help
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09 Sep 2006, 07:18
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Dude, there are two ways to solve this problem.
1. By brute force: which takes well over 2 minutes.
2. By simple logical deduction: which takes about 3 seconds
I started to do the brute force way to help you find a shortcut. After 1 minute, I stopped, looked back up at the problem and immediately noticed that the answer has to be a little less than 1/3.
That leaves you with A or C.
A by pure intuition
Now had the spread been a little tighter, then you would have to use some math.
(200/80)/{(200/60)+(200/75)+(200/80)}
Step 1: divide numerator and denominator by 1/200
Step 2: divide all remaining numbers by 15 (notice that 60, 75, and 80 are all divisible by 15)
Step 3: do the straightforward math ---> 15/51 ---> 5/17
1. By brute force: which takes well over 2 minutes.
2. By simple logical deduction: which takes about 3 seconds
I started to do the brute force way to help you find a shortcut. After 1 minute, I stopped, looked back up at the problem and immediately noticed that the answer has to be a little less than 1/3.
That leaves you with A or C.
A by pure intuition
Now had the spread been a little tighter, then you would have to use some math.
(200/80)/{(200/60)+(200/75)+(200/80)}
Step 1: divide numerator and denominator by 1/200
Step 2: divide all remaining numbers by 15 (notice that 60, 75, and 80 are all divisible by 15)
Step 3: do the straightforward math ---> 15/51 ---> 5/17
