SOLUTION: You are driving to a destination that is 60 miles away. You want to get there for an appointment in an hour. Unfortunately, you get stuck in traffic and can only go 30 miles an hou

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Question 1045602: You are driving to a destination that is 60 miles away. You want to get there for an appointment in an hour. Unfortunately, you get stuck in traffic and can only go 30 miles an hour for the first 20 minutes of your drive. How fast must you go for the remainder of your drive to arrive on time?
Found 2 solutions by advanced_Learner, josmiceli:
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
60=30%2A%281%2F3%29+x2%2F3
=75 miles per hour
x is 75 miles per hour

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1 hr = +60+ min
+60+-+20+=+40+
So, the 2nd of the drive must take +40%2F60=2%2F3+ hr
to arrive on time
--------------------
For 1st part of trip:
+d+=+30%2A%2820%2F60%29+
+d+=+30%2A%281%2F3%29+
+d+=+10+ mi
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+60+-+10+=+50+
The distance for 2nd part of trip is +50+ mi
Let +s+ = the speed for 2nd part of trip
+50+=+s%2A%282%2F3%29+
+s+=+%283%2F2%29%2A50+
+s+=+75+
----------------
You must go 75 mi/hr for the 2nd part of the trip
to arrve on time