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by sud21 » Sat Jan 28, 2012 11:21 pm
People A, B and C drive a car for a trip. They totally drive 1100 miles at the sequence C, B and A. If the distance completed by B is 100 miles less than 2 times that C driven, and A is 200 miles more than B, how long does A drive?
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by neelgandham » Sun Jan 29, 2012 1:24 pm
People A, B and C drive a car for a trip. They totally drive 1100 miles at the sequence C, B and A. If the distance completed by B is 100 miles less than 2 times that C driven, and A is 200 miles more than B, how long does A drive?

Let the distance, the car was driven by C, be C,
then the distance, the car was driven by B = 2C - 100
and the distance, the car was driven by A = B + 200 = 2C + 100

Total distance of the trip = C + 2C - 100 + 2C + 100 = 1100; 5C = 1100; C = 220 miles
The distance, the car was driven by A = B + 200 = 2C + 100 = 540 miles
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by pemdas » Sun Jan 29, 2012 2:12 pm
C, 2C-100, 2C-100+200 -> total 1100
5C=1100, C=220 and A=2*220-100+200=540
sud21 wrote:People A, B and C drive a car for a trip. They totally drive 1100 miles at the sequence C, B and A. If the distance completed by B is 100 miles less than 2 times that C driven, and A is 200 miles more than B, how long does A drive?
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