SOLUTION: please help I'm so frustrated. Pablo can drive 6 times as fast as Carlos can ride his bicycle. If it takes Carlos 4 hours longer than Pablo to travel 24 miles, how fast can Carlos

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Question 766540: please help I'm so frustrated. Pablo can drive 6 times as fast as Carlos can ride his bicycle. If it takes Carlos 4 hours longer than Pablo to travel 24 miles, how fast can Carlos ride his bicycle?
Found 2 solutions by lwsshak3, ramkikk66:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Pablo can drive 6 times as fast as Carlos can ride his bicycle. If it takes Carlos 4 hours longer than Pablo to travel 24 miles, how fast can Carlos ride his bicycle?
***
let x=speed of Carlos on his bicycle
6x=Pablo's driving speed
travel time=distance/speed
..
24%2Fx-24%2F6x=4
LCD:6x
6*24-24=24x
6-1=x
x=5
how fast can Carlos ride his bicycle? 5 mph

Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Pablo can drive 6 times as fast as Carlos can ride his bicycle. If it takes Carlos 4 hours longer than Pablo to travel 24 miles, how fast can Carlos ride his bicycle?
Answer:
Let Carlos bike speed be x mph
Pablo's car speed is 6*x mph

To travel 24 miles, time taken by Carlos = 24/x
To travel 24 miles, time taken by Carlos = 24/6*x = 4/x

Difference between the 2 times is given as 4 hours.
So 24%2Fx+-+4%2Fx+=+4

24+-+4+=+4%2Ax 

20+=+4%2Ax or x+=+5

Speed of bike = 5 mph
Speed of car = 5*6 = 30 mph

Check for correctness: 
Time taken by bike = 24/5 = 4.8 hours
Time taken by car = 24/30 = 0.8 hours
Difference = 4.8 - 0.8 = 4 hours - correct!

:)