At 1:00 PM Jacqueline began to climb up Waterpail Hill from the bottom. At the same time Giles began to climb down from the top. Giles reached the bottom at 2:20 PM, when Jacqueline was 85% of the way up. Jacqueline reached the top at 2:50. Use the result in Exercise 30 to prove that there was a time when they were at the same elevation on the hill.

Data From Exercise 30

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(a) Assume that g and h are continuous on [a, b]. Use Corollary 2 to show that if g(a)