At 3PM, two ships started sailing toward each other from ports which were 265 miles apart at average rates of 18 and 23 miles per hour. At what time were the ships still 60 miles apart?

Question

At 3PM, two ships started sailing toward each other from ports which were 265 miles apart at average rates of 18 and 23 miles per hour. At what time were the ships still 60 miles apart?

*Again, I;m having a real bad day; please walk me through this.*

Answer 1

When they are 60 miles apart, let the time they have traveled be t hours.

So the first one went 13t miles, and the second went 23t miles.

then 13t + 23t + 60 = 265
36t = 205
t = 5.6944 hours
which is 5 hours and about 42 minutes

so they were 60 miles apart at 8:42 pm

Answer 2

Hang on, it should be 18t not 13t, so then I got t=5, so the answer would then be 8PM, right? Should there be only the one let statement though? Cuold I put 3 lETS?;

LET t=time=5hours
let 18t=mph of 1st ship
let 23t=mph of 2nd ship?

Answer 3

You are right, let's blame it on poor eyesight.

But it looks like you can now do these kind of questions.

Answer 4

For the let statements- do they look correct?

Answer 5

If one train is moving at 174 miles per hour and another train is moving in the opposite direction at 112 miles per hour, at what rate are the trains moving apart?

Answer 6

No problem, I'm here to help you. Let's break down the problem step by step.

First, let's find out how long it takes for the ships to meet when they start sailing towards each other.

We know that the combined speed of both ships is 18 + 23 = 41 miles per hour.

To find the time it takes for the ships to meet, we divide the distance between the two ports (265 miles) by their combined speed (41 miles per hour).

So, the time it takes for the ships to meet is 265 miles / 41 miles per hour = 6.46 hours (rounded to two decimal places).

Now, we need to find out when the ships are still 60 miles apart.

We know that the ships started sailing at 3PM, so we add the time it takes for the ships to meet to 3PM.

Since the time is in hours, we can simply add the 6.46 hours to 3.

So, 3PM + 6.46 hours = 9:28 PM (rounded to the nearest minute).

Therefore, the ships are still 60 miles apart at approximately 9:28 PM.

I hope this walkthrough helps you understand how to solve the problem. Let me know if you have any further questions!

At 3PM, two ships started sailing toward each other from ports which were 265 miles apart at average rates of 18 and 23 miles per hour. At what time were the ships still 60 miles apart?

When they are 60 miles apart, let the time they have traveled be t hours.

Thanks!

Hang on, it should be 18t not 13t, so then I got t=5, so the answer would then be 8PM, right? Should there be only the one let statement though? Cuold I put 3 lETS?;

You are right, let's blame it on poor eyesight.

For the let statements- do they look correct?

If one train is moving at 174 miles per hour and another train is moving in the opposite direction at 112 miles per hour, at what rate are the trains moving apart?

No problem, I'm here to help you. Let's break down the problem step by step.