SOLUTION: Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running? A. 10 mph and

Algebra ->  Probability-and-statistics -> SOLUTION: Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running? A. 10 mph and      Log On


   

Question 603932: Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running?
A. 10 mph and 15 mph
B. 15 mph and 20 mph
C. 2.5 mph and 7.5 mph
D. 7.5 mph and 12.5 mph
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Tom runs 5 miles per hour faster than Carl

Let  r AND (r+5) represent Carl's and Toms's speeds respectively

Question states***

Tom and Carl start 200 miles apart, running towards each other.

they meet after 10 hours

Note: d = rt 

 rt + (r+5)t = 200

 t[r +(r+5)] = 200

 t = 200/(2r+5) = 10hrs

Solving for r

10(2r+5) = 200

   2r + 5 = 20

      2r = 15

       r = 7.5, carls speed, tom's speed is 12.5

CHECKING our Answer***

 7.5·10 + 12.5·10 = 75 + 125 = 200mi