Cycling RaceThree friends, Xavier, Yolanda, and Zeke, want to have a race on theirstationary bikes. Aware that he is the fastest rider, Xavier claims he can riden3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles,for any value of n.Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles perhour, and Zeke's speed is 3 miles per hour.We will show that Xavier is incorrect (he has never taken a DiscreteStructures course, evi- dently!).(a) How large must n be to ensure that Yolanda finishes before Xavier?Justify the answer.(b)How large must n be to ensure that Zeke finishes before Xavier? Justifythe answer.(c) As n gets increasingly large, who completes their ride first, Zeke orYolanda? Justify The answer.Answer:

Consider the given: Xavier’s speed =60 miles /hour Yolanda’s speed =20miles/hour Zeke’s speed=3…

(a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Yolanda? Justify The answer.

(a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Yolanda? Justify The answer.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Cycling Race
Three friends, Xavier, Yolanda, and Zeke, want to have a race on their
stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride
n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles,
for any value of n.
Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per
hour, and Zeke's speed is 3 miles per hour.
We will show that Xavier is incorrect (he has never taken a Discrete
Structures course, evi- dently!).
(a) How large must n be to ensure that Yolanda finishes before Xavier?
Justify the answer.
(b)How large must n be to ensure that Zeke finishes before Xavier? Justify
the answer.
(c) As n gets increasingly large, who completes their ride first, Zeke or
Yolanda? Justify The answer.
Answer:

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