SOLUTION: A driver travels 115 km on his first day. On his second day he travels 85 km. If this driver has traveled 80% of the distance, how many kilometers does he have left to travel? a)2

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A driver travels 115 km on his first day. On his second day he travels 85 km. If this driver has traveled 80% of the distance, how many kilometers does he have left to travel? a)2      Log On

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Question 1189983: A driver travels 115 km on his first day. On his second day he travels 85 km. If this driver has traveled 80% of the distance, how many kilometers does he have left to travel?
a)20 b)40 c)50 c)160 d)200

Found 2 solutions by math_tutor2020, MathTherapy:
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

x = total distance to travel, in km

The driver has done 115+85 = 200 km so far which is 80% of the way there.

part%2Fwhole+=+percent%2F100

200%2Fx+=+80%2F100

200%2A100+=+80x

20000+=+80x

80x+=+20000

x+=+20000%2F80

x+=+250

Or as a slight alternative, we're solving the equation 0.80x+=+200 to get x+=+250

The total distance s/he needs to travel is 250 km.

If the driver has done 200 km so far, then there's 250-200 = 50 km left to go.

Answer: c) 50

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
A driver travels 115 km on his first day. On his second day he travels 85 km. If this driver has traveled 80% of the distance, how many kilometers does he have left to travel?
a)20 b)40 c)50 c)160 d)200
Distance travelled after day 2: 115 + 85 = 200 km
With 80% of total distance already travelled, he/she has .2 or 20% (100% - 80%) left
to travel, which results in the following PROPORTION: matrix%282%2C3%2C+200%2FR%2C+%22=%22%2C+.8%2F.2%2C+200%2FR%2C+%22=%22%2C+4%29
                                                        4R = 200 ---------- Cross-multiplying
                       Remaining distance to travel, or highlight_green%28matrix%281%2C6%2C+R%2C+%22=%22%2C+200%2F4%2C+%22=%22%2C+50%2C+km%29%29