# Seth drove from Lancaster to Philadelphia at an average speed of 64. By traveling at an average speed of 78 miles per hour he could have arrived 10 minutes earlier. How far is it from Lancaster to Philadelphia?

##### 1 Answer

Write your answer here...

Start with a one sentence answer

Then teach the underlying concepts

Don't copy without citing sources

preview

?

#### Answer

Write a one sentence answer...

#### Answer:

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

Nityananda
Share

Mar 9, 2018

#### Answer:

59.43 miles

#### Explanation:

Let the distance between Lancaster to Philadelphia is x miles.

Seth goes 64 miles in 1 hour. So he goes x miles in x/64 hour.

Again if he goes 78 miles in 1 hour. Then it took x/78 hours.

Now, as per question he saves 10 minutes = 10/60 = 1/6 hours.

So,

[Note : L.C.M. of 64,78 is 2.32.39]

Was this helpful? Let the contributor know!

Describe your changes (optional) 200