Test Index

Simplification Test 3

© examsnet.com

Question : 7 of 40

Marks: +1, -0

John 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 Joseph gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?

40
37
30
28

Solution:

Let they meet after x minute,

Then, 11 + 57x = 51 – 63x

⇒ 120x = 40

\therefore x = \frac{1}{3} \text{ min}

In

\frac{1}{3}

min. John will ride up

\frac{1}{3} \times 57 = 19

floors.

Hence, they will meet in 11 + 19 = 30th floor.

© examsnet.com

Go to Question:

Prev Question

Next Question