Three men named Greene, Grey, and Tann along with two women name Browne and Whyte, each drive the car in their car pool on a different one of the five weekdays each week. Each person's car is a different one of these five colors: brown, gray, green, tan and white. From the information given determine the day on which each person drives, as well as the color of his or her car.
1. The color of no person's car is similar to his or her name.
2. They ride in the green car earlier in the week than in the tan car but later than in the gray car.
3. The woman who drives the brown car drives later in the week than Mr. Greene but earlier than Mr. Grey, who is not the man who drives on Friday.
4. The man who drives the tan car drives earlier in the week than the man who drives the white car but later than Ms. Browne, who does not drive on Monday.
5. Ms. Brown does not drive on Tuesday.
To solve this logic puzzle, we can create a grid to keep track of the possible combinations of names, days, and car colors. Let's start with the given information:
1. The color of no person's car is similar to his or her name.
- This means that no person's car color can match their name.
2. They ride in the green car earlier in the week than in the tan car but later than in the gray car.
- This indicates the order of when they ride in the green, tan, and gray cars. We can represent this as: green < tan < gray.
3. The woman who drives the brown car drives later in the week than Mr. Greene but earlier than Mr. Grey, who is not the man who drives on Friday.
- This tells us that the woman driving the brown car will drive after Mr. Greene but before Mr. Grey. It also implies that Mr. Grey doesn't drive on Friday.
- Let's represent this as: Greene < (woman in) brown < Grey < (any other person) < Friday.
4. The man who drives the tan car drives earlier in the week than the man who drives the white car but later than Ms. Browne, who does not drive on Monday.
- This provides some order between the man driving the tan car, the man driving the white car, and Ms. Browne. It also tells us that Ms. Browne doesn't drive on Monday.
- Let's represent this as: (any other person) < Monday < (woman not driving) Browne < (any guy driving) tan < (any guy driving) white.
5. Ms. Brown does not drive on Tuesday.
- This restricts Ms. Brown's driving day, indicating that she doesn't drive on Tuesday.
Now, we can use these constraints to find the solution step by step:
1. Start by listing the names: Greene, Grey, Browne, Tann, Whyte.
2. List the days of the week: Monday, Tuesday, Wednesday, Thursday, Friday.
3. List the car colors: brown, gray, green, tan, white.
Now, let's combine the given information:
- From point 3, we know that Brown drives later in the week than Greene and earlier than Grey.
- From point 4, we know that Tan drives earlier in the week than White and later than Browne.
- From point 5, we know that Brown doesn't drive on Tuesday.
Using these clues, we can derive the following information:
- Browne cannot drive on Monday, so it must be one of the guys (Greene or Grey) driving Tan or White on Monday.
- Since Brown doesn't drive on Tuesday and Browne can't drive on Monday, Brown must drive on Wednesday, Thursday, or Friday.
- From point 4, Tan drives earlier in the week than White, so Tan cannot drive on Friday.
- Since Grey doesn't drive on Friday, Grey cannot drive Tan or White, ruling out Friday for both of them.
- According to point 3, Brown drives later than Greene and earlier than Grey. So it can't be Wednesday or Thursday for Greene (since those days are covered for Brown).
- Since Tan cannot drive on Friday or Tuesday, that leaves Monday, Wednesday, and Thursday for Tan.
- Since White drives later than Tan, and Tan can't drive on Thursday, White must drive on Thursday.
- Now we know that Tan drives on Monday, and Greene can't drive on Wednesday or Thursday, so Greene must drive on Tuesday.
- From point 2, Green comes before Tan, which means it must be Green driving on Monday.
- This leaves only Grey for Wednesday, which means Whyte must drive on Friday.
Based on these deductions, we can conclude the following:
- Monday: Green drives the tan car.
- Tuesday: Greene drives the green car.
- Wednesday: Grey drives the brown car.
- Thursday: White drives the gray car.
- Friday: Whyte drives the white car.
Thus, we have determined the day on which each person drives and the color of his or her car.