SOLUTION: A train travelling at 60 mph, arrives at a station 100 miles away 15 minutes later than schedule . At what speed should i travel to arrive exactly on time. A) 65 B) 70 C) 75

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Question 622961: A train travelling at 60 mph, arrives at a station 100 miles away 15 minutes later than schedule . At what speed should i travel to arrive exactly on time.
A) 65
B) 70
C) 75
D) 80

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = the time in minutes to arrive on schedule
Note that 15 min is 1/4 hr
+t+%2B+15+ = the actual time train arrived
+100+=+60%2A%28+t+%2B+1%2F4+%29+
+100+=+60t+%2B+15+
+60t+=+100+-+15+
+60t+=+85+
+t+=+17%2F12+ hrs
To arrive on time, let speed = +s+
+100+=+s%2A%2817%2F12+%29+
+s+=+%2812%2F17%29%2A100+
+s+=+70.6+ mi/hr
I don't get the exact answers, but I
don't see any mistake- do you?