SOLUTION: A scenic road around a lake Rotorua is 11 miles in length. Tom leaves the hotel on his bike averaging 10 mph and heads west around the lake. Bill leaves at the same time and heads

Algebra.Com
Question 520615: A scenic road around a lake Rotorua is 11 miles in length. Tom leaves the hotel on his bike averaging 10 mph and heads west around the lake. Bill leaves at the same time and heads in the opposite direction at 45 mph. How far from the hotel will Tom have traveled when they meet.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A scenic road around a lake Rotorua is 11 miles in length.
Tom leaves the hotel on his bike averaging 10 mph and heads west around the lake.
Bill leaves at the same time and heads in the opposite direction at 45 mph.
How far from the hotel will Tom have traveled when they meet.
--------------
Tom DATA
rate = 10 mph ; time = x hrs ; distance = 10x miles
---
Bill DATA:
rate = 45 mph ; time = x hrs ; distance = 45x miles
-----
distance + distance = 11 miles
10x + 45x = 11 miles
55x = 11 miles
x = 1/5 hr
---
Tom's distance = 10*(1/5) = 2 miles
=========================================
cheers,
Stan H.
=============

RELATED QUESTIONS

I have no idea how to go about this problem, could you please help me with the set up and (answered by ankor@dixie-net.com)
At noon Tom leaves in his boat from a dock and heads south. He travels at a rate of 25... (answered by checkley77)
There was a road around a circular lake. A man and his brother each started in the same... (answered by richwmiller)
On a drive to Hopkinsville you take the scenic route and drive at average 50 mph. On your (answered by ewatrrr)
A road is tangent to a circular lake. Along the road and 12 miles from the point of... (answered by Alan3354)
tom leaves school on a bike going 10 mph. zeke leaves school 1 hour later going the same... (answered by checkley77)
A road is tangent to a circular lake. Along the road and 12 miles from the point of... (answered by greenestamps)
The two cyclists ride toward each other on a straight, 24 km road. One cyclist travels at (answered by ikleyn)
George leaves his house on his bike at 7:30 AM and averages 5 miles per hour. His wife... (answered by mananth)