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


Write a one sentence answer...



Explain in detail...


I want someone to double check my answer

Describe your changes (optional) 200

Mar 9, 2018


59.43 miles


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, #x/64 - x/78 = 1/6#
#rArr [39x-32x]/[2.32.39] = 1/6#
#rArr (7x)/[2.32.39]=1/6#
#rArr x = []/[6.7]#
#rArr x = 59.43#

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

Was this helpful? Let the contributor know!
Impact of this question
11 views around the world
You can reuse this answer
Creative Commons License