THE RAILROAD TRACK BETWEEN TOWN A AND TOWN B IS 500 MILES LONG THE BLUE TRAIN IS SCHEDULED TO LEAVE TOWN A FOR TOWN B AT 2 P.M THE RED TRAIN IS SCHEDULED TO LEAVE TOWN B FOR TOWN A AT 3 P.M BUT IS DELAYED 95 MINUTES DUE TO ENGINE PROBLEM . IF THE BLUE TRAIN TRAVELS 35 MPH AND THE RED TRAIN TRAVELS AT 50 MPH WHEN WILL THEY MEET

BLUE travels for x hours, starting at 2:00

95 minutes = 19/12 hrs, so
RED travels for (x-31/12) hrs, starting at 4:35

35x + 50(x-31/12) = 500
x ~= 7.4 hrs

so they meet at 2:00 + 7.4 = 9:24 pm

check:
35km/hr for 7.4 hr = 259km
50km/hr for 4.817 hr = 241km

Thank you SOOOO much for answering this! I always wondered what the answer to that was, since I usually read Dork Diaries, If you know what I mean... That includes Book 5. Heh. Well, now I know! Am I right?

Also, people should like that answer, because I believe that it took FOREVER to figure that out! Really looks like it too...

To determine when the Blue and Red trains will meet, we need to find out the distance each train travels before they meet.

The Blue train leaves Town A at 2 P.M and travels at a speed of 35 mph. Let's calculate how long it takes for the Blue train to reach the meeting point.

Distance traveled by the Blue train = Speed * Time
Let's assume the time taken by the Blue train to reach the meeting point is 't' hours.

Distance traveled by the Blue train = 35t

The Red train leaves Town B at 3 P.M but is delayed by 95 minutes (or 1 hour and 35 minutes) due to an engine problem. So the Red train actually starts at 4:35 P.M.

Now, let's calculate how long it takes for the Red train to reach the meeting point.

Distance traveled by the Red train = Speed * Time
Since the Red train starts at 4:35 P.M, we need to calculate the time difference until they meet.

Time difference = 4:35 P.M - 2:00 P.M = 2 hours and 35 minutes

So, the Red train has 2 hours and 35 minutes less time to travel.
Let's convert that to hours: 2 hours + (35 minutes / 60 minutes) = 2.5833 hours (rounded to 4 decimal places)

Distance traveled by the Red train = 50 * (t - 2.5833)

Since both trains have the same distance to cover, we can equate the distances traveled:

35t = 50 * (t - 2.5833)

Now we can solve the equation for 't':

35t = 50t - 128.33
15t = 128.33
t = 8.5556 hours (rounded to 4 decimal places)

Now, we can determine the actual meeting time by adding the time traveled by the Blue train to 2 P.M:

Meeting time = 2 P.M + 8.5556 hours = 10:33 P.M

Therefore, the Blue and Red trains will meet at 10:33 P.M.

someone said this and they said the wrong answer !?

i heard in my class someone also said this and said the answer is 8:24

O Shut up! Give more explanation will ya?