# Time & Distance Problem

• Oct 8th 2010, 10:08 PM
geton
Time & Distance Problem
It is 165 miles from city x to city y. If a bus takes 1.5 hours to travel the first 65 miles, how long must the bus take to travel the final 100 miles in order to average 50 miles/hr during the entire trip?
• Oct 8th 2010, 10:36 PM
harish21
what have you done so far? show your work..

if the bus has an avg speed of 50 miles per hr, then it would travel 165 miles in (165/50)= 3.3 hours....

Based on this and the information you have in your question, calculate the time taken by the bus to travel the final 100 miles.
• Oct 8th 2010, 10:51 PM
geton
I've done like this:

The entire trip is 165 miles.

Therefore, expected time = 165/50 * 60 minutes = 198 minutes.

The 1st 65 miles were traveled in 1.5 hrs. = 90 minutes.

So, the remaining 100 miles has to be traveled in (198-90) minutes = 108 minutes.

Therefore the answer is 108 minutes.

Is this correct? I've confusion about my book's answer, it says 115.47 minutes!
• Oct 8th 2010, 10:54 PM
harish21
Yes.