SOLUTION: Sharon and Rae are riding bicycles on the same trail in the same direction, shareon crosses a bridge at 12:18 pm, Rae crosses the same bridge at 12:33pm, If sharon is going 8mph an
Algebra.Com
Question 519623: Sharon and Rae are riding bicycles on the same trail in the same direction, shareon crosses a bridge at 12:18 pm, Rae crosses the same bridge at 12:33pm, If sharon is going 8mph and Rae is going 10mph, when will Rae catch up with sharon?
Found 2 solutions by ankor@dixie-net.com, Maths68:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Sharon and Rae are riding bicycles on the same trail in the same direction, shareon crosses a bridge at 12:18 pm, Rae crosses the same bridge at 12:33pm,
If sharon is going 8mph and Rae is going 10mph, when will Rae catch up with sharon?
:
From the information given, we know that R is 15 min behind S, at 12:18 PM
convert 15 min to .25 hrs
Find the distance R is behind S at this time: .25(10) = 2.5 mi
:
let t = time in hrs, that R catches s
:
Write a distance equation; dist = speed * time
:
10t = 8t + 2.5
10t - 8t = 2.5
2t = 2.5
t = 2.5/2
t = 1.25 hrs, which is 1 hr 15 min
:
Find the time from 12:18 PM: 12:18 + 1:15 = 13:33, or 1:33 PM, R catches S
:
:
Check this by finding the distance each rode
10*1.25 = 12.5 mi distance traveled
8*1.25 = 10 mi + 2.5 mi head start: = 12.5
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Sharon Data
===========
Distance traveled = x
Speed = 8mph
Time taken to cover distance x = t
Distance = Speed * time
x=8*t
Rae Data
========
Distance traveled = x
Speed = 10mph
Time taken to cover distance x = t-15 (Rae started 15 minutes later)
Distance = Speed * time
x=10*(t-15)
Since both will cover the same distance therefore
10(t-15)=8t
10t-150=8t
10t-8t=150
2t=150
t=150/2
t=75 minutes or 1.25 hours
After (75-15) 60 minutes of crossing the bridge Rea will catch up with Sharon at 1:33pm
Check
=======
Sharon Data
Distance traveled = x
Speed = 8mph
Time taken to cover distance x = t = 1.25 hours
Distance = Speed * time
x=8*t= 8*1.25 = 10 miles
Rae Data
Distance traveled = x
Speed = 10mph
Time taken to cover distance x = t-15 = 75-15=60 minutes = 1 hour
Distance = Speed * time
x=10*1= 10 miles
RELATED QUESTIONS
1.Jason invested $20,000 in two accounts, one paying 7% and the other payijng 9%in annual (answered by solver91311)
The question reads: Paul and John are riding bicycles on the same path and in the same... (answered by solver91311)
Horseback Riding Two friends Jodi and Abe go riding on the same trail in the same... (answered by solver91311)
Ian and Lindsey are riding bikes in the same direction. Ian is traveling at an average... (answered by ankor@dixie-net.com)
Two friends, Jodi Cotton and Abe Mantell, go horseback riding on the same... (answered by josgarithmetic,josmiceli)
Curtis and Karly are riding bicycles in the same direction. Curtis is traveling at 4... (answered by algebrahouse.com)
Paul and John are riding bicycles on the same path and in the same direction. Paul is... (answered by checkley77)
Rae,carol,and dena are neighbors. Their hobbies are sculpting,fixing cars, and gardening. (answered by 303795)
Trains A and B are traveling in the same direction on parallel tracks. Train A is... (answered by jorel1380)