SOLUTION: Paul travels 6km to work. He walks part of the way at 5km/h and gets a bus the rest of the way at 40km/h. The whole journey takes 30 minutes. How far does he walk?

Question 953093: Paul travels 6km to work. He walks part of the way at 5km/h and gets a bus the rest of the way at 40km/h. The whole journey takes 30 minutes. How far does he walk?
Found 2 solutions by josmiceli, macston:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance he walks in km
= the distance he takes bus in km
Let = time in hrs he walks
= time in hrs he spends on bus
-------------------------
Equation for walking:
(1)
Equation on bus:
(2)
--------------------------
(2)
substitute (1) into (2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
He walks 2 km
-----------------
check:
(2)
(2)
(2)
(2)
OK
(1)
(1)
(1)
OK

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
w=distance walked; 6km-w=distance bused; t=time=distance/rate=30 min
Find common denominator and add.

Multiply each side by 40km/hr.
Convert to hrs and multiply.

Subtract 6km from each side.
Divide each side by 7.
ANSWER: Paul walks 2 kilometers.
CHECK:

30 min=30 min
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