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MGMAT Inequality Problem

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MGMAT Inequality Problem

by yuvarajait » Sun Mar 27, 2011 5:21 pm
A cyclist travels the length of a bike path that is 225 miles long, rounded to the nearest
mile. If the trip took him 5 hours, rounded to the nearest hour, then his average speed
must be between:
(A) 38 and 50 miles per hour
(C) 40 and 51 miles per hour
(E) 41 and 51 miles per hour
(B) 40 and 50 miles per hour
(D) 41 and 50 miles per hour

I could understand how this problem works and calculated the minimum and maximum speed as,
max = 225.5/4.5 = 50.111...
min = 224.5/5.5 = 40.81...

If i round off the values, the minimum would be 41 and maximum would 50. But the answer given is 40 and 51 miles per hour. Could you please help understanding this. Thanks!
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by GMATGuruNY » Sun Mar 27, 2011 5:36 pm
yuvarajait wrote:A cyclist travels the length of a bike path that is 225 miles long, rounded to the nearest
mile. If the trip took him 5 hours, rounded to the nearest hour, then his average speed
must be between:
a) 38 and 50 MPH
b) 40 and 50 MPH
c) 40 and 51 MPH
d) 41 and 50 MPH
e) 41 and 51 MPH

I could understand how this problem works and calculated the minimum and maximum speed as,
max = 225.5/4.5 = 50.111...
min = 224.5/5.5 = 40.81...

If i round off the values, the minimum would be 41 and maximum would 50. But the answer given is 40 and 51 miles per hour. Could you please help understanding this. Thanks!
Don't round off the results.

According to your calculations (which are correct):
The average speed can be less than 41 miles per hour. Eliminate D and E.
The average speed can be greater than 50 miles per hour. Eliminate A and B.

The correct answer is C.
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by yuvarajait » Sun Mar 27, 2011 7:50 pm
Thanks a lot Mitch...Its clear now.. :)
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