Speed problem

[freezer]

• Bart, who is traveling from Madison to Chicago, and Craig, who is traveling from Chicago to Madison, start traveling at the same time. After the two meet in Milwaukee Bart needs another 3 3/4 hours to get to Chicago and Craig needs another 1 2/3 hours to reach Madison. If Bart is traveling at 50mph, how fast is Craig traveling?

Thank you very much for step by step solution

[givemeanid]

Post the answer choices. Sometimes its easy to pick the right choice based on the wrong ones. GMAT problems are designed to be done in less than 2 min or so.

[maverick312]

i think some more information is missing. unless the answer is expressed in variables..

[lsr]

• Bart, who is traveling from Madison to Chicago, and Craig, who is traveling from Chicago to Madison, start traveling at the same time. After the two meet in Milwaukee Bart needs another 3 3/4 hours to get to Chicago and Craig needs another 1 2/3 hours to reach Madison. If Bart is traveling at 50mph, how fast is Craig traveling?

Thank you very much for step by step solution

Let X=distance between Madison and Milwaukee.
Let Y=distance between Chicago and Milwaukee.
Let V=Craig's speed.

X/50=Y/V ----- X*V=50Y (equation 1)

Y=50*(5/3)
X=V*(15/4)

plug the above two equations into the first equation and solve for V.

(V^2)*(15/4)=(50^2)*(5/3)
V^2=(50^2)*(4/9)
V=50*(2/3)
V=100/3=33 1/3 MPH.