SOLUTION: An accountant rides a bus part of the way to work every day and walks the rest of the way. The bus averages 40 mph, and the accountant walks at a speed of 3 mph. The distance from

Question 1101341: An accountant rides a bus part of the way to work every day and walks the rest of the way. The bus averages 40 mph, and the accountant walks at a speed of 3 mph. The distance from home to work is 17 miles, and the total time for the trip is 3 hours. Find how far the accountant walks and how far he rides the bus.

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An accountant rides a bus part of the way to work every day and walks the rest of the way.
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The bus averages 40 mph, and the accountant walks at a speed of 3 mph. The distance from home to work is 17 miles, and the total time for the trip is 3 hours. Find how far the accountant walks and how far he rides the bus.
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40b + 3w = 17 miles
b + w = 3 hrs
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Modify::
40b + 3w = 17
3b + 3w = 9
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37b = 8
bus time = 8/37 hrs
distance the bus went = (8/37)40 = 8.65 miles
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40b + 3w = 17
40b + 40w = 120
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37w = 103
w = 103/37 hrs
Distance walked = (103/37)3 = 8.35 miles
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance in miles traveled by bus
= distance in miles he walks
Let = time in hrs spent on bus
= time in hrs spent walking
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Equation for riding on bus:
(1)
Equation for walking:
(2)
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(2)
(2)
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Set (1) = (2)

and

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He spent 12 min 58 sec on bus
He spent 2 hrs 47 min walking
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check:

mi
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I think the error of is due to
rounding off. check the math.

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