The distance between Chicago and Cleveland is 354 miles. If a person leaves Chicago at 9:50 am Central Time and arrives in Cleveland at 5:30pm the same day Eastern Time, at what average speed does he travel, correct to the nearest mile? (Central time is one hour earlier than Easter Time.

(A) 46mph
(B) 50mph
(C) 53mph
(D) 55mph
(E) 56mph

Question

The distance between Chicago and Cleveland is 354 miles. If a person leaves Chicago at 9:50 am Central Time and arrives in Cleveland at 5:30pm the same day Eastern Time, at what average speed does he travel, correct to the nearest mile? (Central time is one hour earlier than Easter Time.

(A) 46mph
(B) 50mph
(C) 53mph
(D) 55mph
(E) 56mph

anonymous · Answer

What answer do you think it is?

anonymous · Answer

I think it's...A..

anonymous · Answer

It is C

anonymous · Answer

How do you get C?

anonymous · Answer

Turn 6 hour and 40 minutes into decimals and it = 6.667, which is your time

anonymous · Answer

Pretty much you are using the formula d= rt

anonymous · Answer

You are trying to find the speed/rate which is r

anonymous · Answer

you have distance = d and you have the time = t

anonymous · Answer

To find the rate just 
d = rt  
d/t = r
r = d/t
r = 354/6.667
which gives you your answer

anonymous · Answer

Got it?

anonymous · Answer

yeah. Thanks so much!! ^^

anonymous · Answer

$$r = \frac{d}{t} $$$$r = \frac{354}{17.5-\left(9+\frac{50}{60}\right)}= 46.17=46 \text{ mph} \text{ rounded} $$

anonymous · Answer

17.5 is 5:30 PM

anonymous · Answer

robtobey the time is only 6.667. Your calculation is wrong.

anonymous · Answer

Reread the problem. It is going from central to  est

anonymous · Answer

@MDoodler

You are correct.  Rushed through the solution and missed the time zone corrections.