SOLUTION: Two towns are 80 km. apart. Sylvia wants to drive from one town to the other in exactly one hour. The first 30 minutes she drives at a rate of 60 km/hr. At what constant rate mu

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two towns are 80 km. apart. Sylvia wants to drive from one town to the other in exactly one hour. The first 30 minutes she drives at a rate of 60 km/hr. At what constant rate mu      Log On

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Question 144789: Two towns are 80 km. apart. Sylvia wants to drive from one town to the other in exactly one hour. The first 30 minutes she drives at a rate of 60 km/hr. At what constant rate must she drive for the next thirty minutes to accomplish her goal?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Distance(d) equals Rate(r) times Time(t) or d=rt; t=d/r and r=d/t
Distance travelled in the first 30 min:
d=60*(1/2)=30 km
Distance remaining=80-30=50 km
Now, in order to drive the total distance in 1 hour, she needs to drive the remaining 50 km in 30 min, so:
r=d/t=50 km/(1/2)=100 km/hr
Hope this helps---ptaylor