SOLUTION: Carlos de la LAma and Dave Kater are both going to attend a mathematics convention out of town. They wish to arrive at the conference at the same time, but Dave must leave for the

Question 73183: Carlos de la LAma and Dave Kater are both going to attend a mathematics convention out of town. They wish to arrive at the conference at the same time, but Dave must leave for the conference later than Carlos because he has a meeting to attend. When Carlos has driven 50 miles he gets a call from Dave on his cellular phone, and Dave tells him that he is leaving now. Carlos indicates that he is drivng at 55 miles per hour. Dave says that he plans to drive at 70 miles per hour along the same route and should catch up with Carlos in about 3.33 hours.
A. Write the equation used by Dave to determine when he would catch up with Carlos.
B. Solve the equation in part A.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
When Carlos has driven 50 miles he gets a call from Dave on his cellular phone, and Dave tells him that he is leaving now. Carlos indicates that he is driving at 55 miles per hour. Dave says that he plans to drive at 70 miles per hour along the same route and should catch up with Carlos in about 3.33 hours.
:
We know how far apart they are when the call is made 50 mi. We know when D
catches up with C they will have traveled the same distance.
;
A. Write the equation used by Dave to determine when he would catch up with Carlos.
:
Let t = time they will travel after the call
:
D's distance = C's Distance: Dist = speed * time
:
70t = 55t + 50
70t - 55t = 50
15t = 50
t = 50/15
t = 3.33 hrs

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