SOLUTION: Prince Christopher and Princess Dagney were 63 miles apart at dawn. Prince Christopher
began the journey to the meeting place at 7 a.m. at 3 mph. Three hours later Princess Dagney
Algebra.Com
Question 1144517: Prince Christopher and Princess Dagney were 63 miles apart at dawn. Prince Christopher
began the journey to the meeting place at 7 a.m. at 3 mph. Three hours later Princess Dagney set
out to meet him. If they met at 4 p.m., how fast did the princess travel?
Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Prince Christopher and Princess Dagney were 63 miles apart at dawn.
Prince Christopher began the journey to the meeting place at 7 a.m. at 3 mph.
Three hours later Princess Dagney set out to meet him.
If they met at 4 p.m., how fast did the princess travel? :
:
if the met a 4 PM, 6 hr = travel time of the princess and 9 hrs = travel time of the prince
let s = the speed of the princess
:
Write a distance equation; dist = speed * time
6s + 3(9) = 63
6s = 63 - 27
6s = 36
s = 36/6
s = 6 mph is the speed of the princess
:
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
The algebraic solution from the other tutor is fine, and it is a good example of how basic algebra can be used to solve problems like this.
If an algebraic solution is not required, logical analysis can solve the problem easily. And the logical reasoning is good exercise for your brain....
The prince traveled for 9 hours at 3mph; the distance he traveled was 9*3 = 27 miles.
The total distance to be traveled was 63 miles; so the distance the princess traveled was 63-27 = 36 miles.
Since the princess started 3 hours after the prince, she traveled for 6 hours.
Since she traveled 36 miles in 6 hours, her speed was 36/6 = 6mph.
RELATED QUESTIONS
A princess is as old as the prince will be when the princess is twice the age that the... (answered by Edwin McCravy)
Without writing them all out, what is the number of subsets of set A ={king, queen,... (answered by jim_thompson5910)
Without writing them all out, what is the number of subsets of set A ={king, queen,... (answered by MathLover1)
What is the number of subsets of set A = {king,queen,knight,prince,princess,duke,earl}?... (answered by stanbon)
Prince and Madonna were the top two moneymakers in the 2004 usic industry. Prince earned (answered by stanbon)
without writing them all out, what is the number of subsets of set A={king, queen,... (answered by jim_thompson5910)
Without writing them all out, what is the number of subsets of set A ={king, queen,... (answered by stanbon)
Help me to solve this problem: Jon left Prince George and drove towards Vancouver at a... (answered by josgarithmetic,ikleyn)
Christopher ran m miles at r miles per hour and arrived on time. Then the distance was... (answered by ankor@dixie-net.com,MathTherapy)