Lynne lives 12 miles from peg whose house is in a direct line between Lynn's house and a tennis club .

Question

Lynn's car odometer read 45,042 miles when she left home to pick up peg to get to the tennis club.  however  4 miles past pegs  peg realized she forgot her racket .  they drove back to get it .  when they arrived at the club the odometer read 45076/. how far is the tennis club from pegs house

Answer 1

Hi, Donna.

 

Okay, so if Peg lives 12 miles from Lynn, then:

Lynn drove 12 miles to Peg's house

then she drove 4 more miles past Peg's house before she s turned around,

then, she turned around drove 4 more miles back to Peg's house and then they drove

X more miles from Peg's to the tennis club.

 

So,

12 + 4 + 4 + X = ?

 

Now, let's check the odometer:

 

45076 - 45042 =34 miles

 

12 + 4 + 4 + X = 34

20 + X = 34

X = 14

 

So, it is 14 miles from the club to Peg's house.