Question 16

David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time Albert gets on an elevator at the 51 it floor of the same building and rides down at the rate of 63 floors per minute. If they continue traveling at these rates, then at which floor will their elevators meet?

Solution

Let them meet at time "t"

Floor of David at time t = 11+57t

Floor of Albert at time t = 51- 63t

When they meet their floor will be same. 11+57t = 51 - 63t

t = $$\frac{1}{3}$$ minutes.

Floor at which they meet = 11 + 57 *$$\frac{1}{3}$$ = 11+19 = 30

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