Determine the color, driver and mpg of each car by the information:
5 different drivers -- Cox, Durham,Gosling, Heynek and Wollinsky.
Car colors-- blue, green, red, white and yellow.
different mpg-- 32, 31, 30, 29 and 28
1. Durham got morempg than the green car but not as many as the red car.
2. The blue car got better mpg than the car driven by Wollinsky
3. Cox did not drive the green or red car
4. the yellow car got morempg than the car driven by Gosling but not as many as the green car.
Determine driver and color of each car and mpg.
Based on the given information, we can determine the color, driver, and MPG of each car as follows:
1. Durham got more MPG than the green car but not as many as the red car.
- Durham does not drive the green or red car.
- Therefore, Durham drives either the blue, white, or yellow car.
2. The blue car got better MPG than the car driven by Wollinsky.
- Durham does not drive the blue car.
- Therefore, Durham drives either the white or yellow car.
3. Cox did not drive the green or red car.
- Cox does not drive the green or red car.
- Therefore, Cox drives either the blue, white, or yellow car.
4. The yellow car got more MPG than the car driven by Gosling but not as many as the green car.
- Durham does not drive the blue car.
- Cox does not drive the green car.
- Therefore, Durham drives the white car, Cox drives the yellow car, and Gosling drives either the green or red car.
From the given information, we can conclude the following:
Durham: White car, MPG: ?
Cox: Yellow car, MPG: ?
Gosling: Green or red car, MPG: ?
Heynek: ?
Wollinsky: ?
To determine the remaining information, let's analyze the remaining clues:
1. Durham got more MPG than the green car but not as many as the red car.
- Since Durham drives the white car, the green car must be driven by Gosling, and the red car must be driven by Heynek or Wollinsky.
2. The blue car got better MPG than the car driven by Wollinsky.
- Since the blue car gets better MPG than Wollinsky's car, Wollinsky cannot drive the blue car.
3. Cox did not drive the green or red car.
- Cox drives the yellow car. Therefore, Gosling must drive the red car.
4. The yellow car got more MPG than the car driven by Gosling but not as many as the green car.
- Since Cox drives the yellow car, the green car must be driven by Wollinsky.
Based on the information above, we can conclude the following:
Durham: White car, MPG: ?
Cox: Yellow car, MPG: ?
Gosling: Green car, MPG: ?
Heynek: Red car, MPG: ?
Wollinsky: Blue car, MPG: ?
To find the MPG for each driver, we can analyze the remaining clues:
1. Durham got more MPG than the green car but not as many as the red car.
- Since the white car is driven by Durham and cannot be the green or red car, Durham's MPG must be higher than the green car's MPG but lower than the red car's MPG.
2. The blue car got better MPG than the car driven by Wollinsky.
- The blue car is driven by Wollinsky, so Wollinsky's MPG must be lower than the blue car's MPG.
3. The yellow car got more MPG than the car driven by Gosling but not as many as the green car.
- Since Cox drives the yellow car and Gosling drives the green car, the yellow car's MPG must be higher than Gosling's MPG but lower than the green car's MPG.
Based on these clues, we can determine the MPG for each driver:
Durham: White car, MPG: 30
Cox: Yellow car, MPG: 29
Gosling: Green car, MPG: 28
Heynek: Red car, MPG: 31
Wollinsky: Blue car, MPG: 32
Therefore, the final answer is:
Durham drives the white car with MPG 30.
Cox drives the yellow car with MPG 29.
Gosling drives the green car with MPG 28.
Heynek drives the red car with MPG 31.
Wollinsky drives the blue car with MPG 32.
To solve this problem, we will use a process of elimination method by considering each given statement one by one. Let's break down each statement and apply it to the available options:
Statement 1: Durham got more mpg than the green car but not as many as the red car.
From this statement, we can deduce that Durham did not drive the green car and he did drive a car that is not red. So, we can eliminate both the green and red cars for Durham.
Statement 2: The blue car got better mpg than the car driven by Wollinsky
This statement tells us that Wollinsky did not drive the blue car and that the blue car got better mpg than the one he drove. Thus, we can eliminate the blue car for Wollinsky.
Statement 3: Cox did not drive the green or red car
According to this statement, we can eliminate both the green and red cars for Cox.
Statement 4: The yellow car got more mpg than the car driven by Gosling but not as many as the green car.
Using this statement, we know that Gosling didn't drive the yellow car and the yellow car got more mpg than the one he drove. So, we can eliminate the yellow car for Gosling.
Now let's see what options remain for each driver, color, and mpg:
Drivers: Cox, Durham, Gosling, Heynek, Wollinsky
Colors: green, red, white
MPG: 28, 29, 30, 31, 32
Considering the given information, we can determine the following:
Cox:
Cox did not drive the green or red car, so Cox must drive the white car.
Durham:
Durham got more mpg than the green car but not as many as the red car. Since the white car is taken by Cox, Durham must drive the remaining option, which is the red car.
Gosling:
Gosling didn't drive the yellow car, so they must drive the remaining option, which is the green car.
Heynek and Wollinsky:
From the given information, we cannot determine which driver drives which car color. Therefore, we will assign Heynek to the yellow car and Wollinsky to the blue car.
Using process of elimination, we can determine the final distribution:
Cox - White car, 29 mpg
Durham - Red car, 30 mpg
Gosling - Green car, 28 mpg
Heynek - Yellow car, 31 mpg
Wollinsky - Blue car, 32 mpg
So, the color, driver, and mpg of each car are as follows:
- Cox drives the white car with 29 mpg.
- Durham drives the red car with 30 mpg.
- Gosling drives the green car with 28 mpg.
- Heynek drives the yellow car with 31 mpg.
- Wollinsky drives the blue car with 32 mpg.