The question is as follows:
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
Let d = distance of bike path
Let t = total time of trip
I set it up as follows:
224.5 < d < 225.4
4.5 < t < 5.4
These inequalities apply the constraints stated in the problem. However, the book states that the correct inequalities are as follows:
224.5 < d < 225.5
4.5 < t < 5.5
These inequalities actually allow the distance to be 225.5 mi. and the time to be 5.5 hours. But clearly, rounding these numbers would lead to 226 mi. and 6 hours, which is in conflict with the question.
Any ideas or input as to what's going on here?
Thanks in advance for any input.
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
Let d = distance of bike path
Let t = total time of trip
I set it up as follows:
224.5 < d < 225.4
4.5 < t < 5.4
These inequalities apply the constraints stated in the problem. However, the book states that the correct inequalities are as follows:
224.5 < d < 225.5
4.5 < t < 5.5
These inequalities actually allow the distance to be 225.5 mi. and the time to be 5.5 hours. But clearly, rounding these numbers would lead to 226 mi. and 6 hours, which is in conflict with the question.
Any ideas or input as to what's going on here?
Thanks in advance for any input.
