# Jack enters a lift on the 24th floor, which is going up @ 51 floors/minute..........At what floor will they be together?

+1 vote
36 views

Jack enters a lift on the 24th floor, which is going up @ 51 floors/minute speed.
At the same time Jill enters another lift on the 246th floor, which is going down @ 60 floors/minute speed.
At what floor will they be together?

posted Apr 5

126

They will meet after (246-24)/(51+60)=2 mins
They will be at floor 24+51*2=246-60*2=126

Let X be the floor at which Jack and Jill will be together.
The time to reach the X floor is going to be the same for both elevators, then we can write the following equation;
(X - 24) / 51 = ( 246 - X) / 60
Solving this equation, it gives X = 126th floor

Similar Puzzles
+1 vote

Jack enters a lift on the 25th floor, which is going up @ 56 floor/min speed.
At the same time Jill enters another lift on the 70th floor which is going down @ 64 floor/min speed.
At what floor will they be together?

+1 vote

Jack enters a lift on the 10th floor, which is going up @ 53 floors/min speed. At the same time Jill enters another lift on the 370th floor which is going down @ 67 floors/min speed. At what floor will they be together?

+1 vote

An elevator held 13 people and was going to the 25th floor in a building. Suddenly, the elevator's wire broke and the elevator dropped 25 floors down. But all 13 people in the elevator didn't get injured. What happened to them?