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?
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-> 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?
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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
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
