a difficulct question for me

[jeff_needs_help_thanx]

i have no clue or how to do this here it is hope you can help many many thanx.and by the way i dont know if teacher gave me enogh info for answer?

In the Art Gallery is a new conceptual art piece. The artist created a huge pile different paintings; periodically he picks up one of the paintings and hangs it on the wall, and adjusts it.

At 11:00, the painting titled "Number 30" was hung.

At 4:00, the painting titled "Number 240" was hung.

At 7:30, the painting titled "Number 315" was hung.

What painting will the artist hang on the wall at 9:20?

 

[tkhunny]

At 11:00, the painting titled "Number 30" was hung.
At 4:00, the painting titled "Number 240" was hung.
At 7:30, the painting titled "Number 315" was hung.
What painting will the artist hang on the wall at 9:20?

Tough to say. What if there are not enough painting or if he gets off work at 9:00? We'll have to assume some continuity and consistency. This could lead just about anywhere.

Let's see if he is consistent throughout the day...

(240-30)/(4:00 PM - 11:00 AM) = 210/(5 hours) = 42/hour

(315-240)/(7:30 PM - 4:00 PM) = 75/(3.5 hours) = (150/7)/hour = apprx 21.43/hour

That's not encouraging.

Maybe he slows down by a proportional amount after 7:30?

(150/7)/42 = 0.510204082
((150/7)/hour)*0.510204082 = 10.93294461/hour

X is the painting we seek.

(X-315)/(9:20 PM - 7:30 PM) = 10.93294461/hour
(X-315)/(1.833333... hours) = 10.93294461/hour
X - 315 = 20.04373178
X = 335.0437318 -- Well, that didn't quite work, did it? Our whacky artist put up painting #335 a moment prior to 9:20. (Actually, about ¼ second. Maybe that's close enough).

If you make other assumptions, you will get another answer. This was just my proportional slow-down assumption. There are infinitely many other assumptions.