SOLUTION: Elizabeth Suco and her friend Harold Tanner are riding their bicycles in a fundraiser for charity. Harold leaves the starting point at 7:00 AM and rides at 15 miles per hour. Eliz

Question 907728: Elizabeth Suco and her friend Harold Tanner are riding their bicycles in a fundraiser for charity. Harold leaves the starting point at 7:00 AM and rides at 15 miles per hour. Elizabeth leaves the starting point at 7:30 AM and rides at 18 miles per hour.
How long after Elizabeth leaves the starting point will she catch up?
How far from the starting point will they be?
Found 2 solutions by lwsshak3, mananth:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Elizabeth Suco and her friend Harold Tanner are riding their bicycles in a fundraiser for charity. Harold leaves the starting point at 7:00 AM and rides at 15 miles per hour. Elizabeth leaves the starting point at 7:30 AM and rides at 18 miles per hour.How long after Elizabeth leaves the starting point will she catch up? How far from the starting point will they be?
***
let x=Elizabeth's travel time
x+.5=Harolds's travel time
speed*travel time=distance (equal for both)
..
15(x+.5)=18x
15x+7.5=18x
3x=7.5
x=2.5
18x=45
How long after Elizabeth leaves the starting point will she catch up? 2.5 hrs
How far from the starting point will they be? 45 miles
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
the distance traveled by both is same when one catches up with the other.
Let them meet at distance x
Suco speed= 15 mph , starts at 00:00 am
Tanner speed= 18 mph starts at 07:30 am

Time difference between the starting of the two= 0.50 hours

Time taken by Suco = X / 15
Time taken by Tanner = X / 18

X / 15 - X / 18 = 0.5

LCD - 90
Multiply equation by 90 90

6 x - 5 x = 45
1 x = 45
/ 1
x= 45 miles
Tanner speed= 18 mph
Distance = 45 miles
Time taken = 45 / 18
Time taken to catch up = 2.5 hour

RELATED QUESTIONS
Harold and Jim together can do a job in six days. Harold can do the job working alone in (answered by Maths68)
Harold Ivan is shopping for a new car. In addition to the price of the car, there is a... (answered by rfer)
Harold is a salesperson in a retail store and earns $48 per week plus 12% of his weekly... (answered by ikleyn)
Harold was 5 years older than phidella. In 10 years he found that 4 times his age... (answered by ankor@dixie-net.com)
Richard, Karen, and harold are carpenters. Richard can make one chair in one hour. Karen... (answered by macston)
Working together, Harold and Yolanda can mop the entire freshman wing in 4 hours. How... (answered by josgarithmetic)
Harold Hacker recently read in a national golf magazine that the average weekend golfer... (answered by stanbon)
You are 36 miles from a friend. You both start riding your bicycles toward eachother at... (answered by mananth)
Haley and Bianca leave their house at the same time riding their bicycles in opposite... (answered by josmiceli)