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 

RELATED QUESTIONS

Two towns are 1250 miles apart. A group of hikers start from each town and walk the trail  (answered by TimothyLamb)

Two cars start from points 400 miles apart and travel toward each other. They meet after... (answered by mananth)

Two cars start off 700 miles apart.  They begin driving towards on another, with one car... (answered by checkley79)

I;m not sure if you can help with this problem, but this is how the question was given to  (answered by Alan3354)

two automobiles start at the same time from towns 440 miles apart and travel towards each  (answered by drj)

Two men start from points 176 miles apart and travel toward each other until they meet.... (answered by mananth)

Two towns are 1050 miles apart. A group of hikers start from each town and walk the trail  (answered by josgarithmetic)

2 cars start 15 miles apart they travel in a straight line towards each other. If they... (answered by josmiceli)

two cars start from two twons 200 miles apart and travel towards each other.
they pass... (answered by stanbon)