SOLUTION: Albert raced 4 tims as fast as Bernhard. In fact, Albert raced 48 miles in 3 hours less than it took Bernhard to race 30 miles. How fast did each of them race? What were the times

Question 747566: Albert raced 4 tims as fast as Bernhard. In fact, Albert raced 48 miles in 3 hours less than it took Bernhard to race 30 miles. How fast did each of them race? What were the times of each racer?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Albert raced 4 times as fast as Bernhard.
In fact, Albert raced 48 miles in 3 hours less than it took Bernhard to race 30 miles.
How fast did each of them race?
What were the times of each racer?
:
Let s = B's racing speed
then
4s = A's speed
:
Write a time equation; time = dist/speed
:
B's time - A's time = 3 hrs
- = 3
mult by 4s to clear denominators, resulting in:
4(30) - 48 = 3(4s)
120 - 48 = 12s
72 = 12s
s = 72/12
s = 6 mph, is B's speed
then
4(6) = 24 mph is A's speed
:
Their times
30/6 = 5 hrs for B
48/24 = 2 hrs for A
--------------------
differs: 3 hrs
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