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Two schoolgirls were traveling from the city to a dacha (summer cottage) on an electric train. “I notice,” one of the girls said “that the dacha trains coming in the opposite direction pass us every 5 minutes. What do you think-how many dacha trains arrive in the city in an hour, given equal speeds in both directions?” “Twelve, of course,” the other girl answered, “because 60 divided by 5 equals 12.” The first girl did not agree. What do you think?
Answer: If the girls had been on a standing train, the first girl's calculations would have been correct, but their train was moving. It took 5 minutes to meet a second train, but then it took the second train 5 more minutes to reach where the girls met the first train. So the time between trains is 10 minutes, not 5, and only 6 trains per hour arrive in the city.
Solution:
Show Answer
If the girls had been on a standing train, the first girl’s calculations would have been correct, but their train was moving. It took 5 minutes to meet a second train, but then it took the second train 5 more minutes to reach where the girls met the first train. So the time between trains is 10 minutes, not 5, and only 6 trains per hour arrive in the city.
Show Answer
If the girls had been on a standing train, the first girl’s calculations would have been correct, but their train was moving. It took 5 minutes to meet a second train, but then it took the second train 5 more minutes to reach where the girls met the first train. So the time between trains is 10 minutes, not 5, and only 6 trains per hour arrive in the city.
A group of campers have been on vacation so long, that they’ve forgotten the day of the week. The following conversation ensues. Darryl: What’s the day? I don’t think it is Thursday, Friday or Saturday. Tracy: Well that doesn’t narrow it down much. Yesterday was Sunday. Melissa: Yesterday wasn’t Sunday, tomorrow is Sunday. Ben: The day after tomorrow is Saturday. Adrienne: The day before yesterday was Thursday. Susie: Tomorrow is Saturday. David: I know that the day after tomorrow is not Friday. If only one person’s statement is true, what day of the week is it?
Answer: It is Wednesday. If it was any other day of the week, more than one statement would be true. To solve the riddle, evaluate each person's statement and write down what day it could be according to the statement. David's statement indicates it could be any day of the week except for Wednesday. When you list the days that it could be according to everyone's statement, it turns out Wednesday is the day mentioned only one time. Darryl: Sunday, Monday, Tuesday, or Wednesday Tracy: Monday Melissa: Saturday Ben: Thursday Adrienne: Saturday Susie: Friday David: Sunday, Monday, Tuesday, Thursday, Friday or Saturday
Solution:
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It is Wednesday. If it was any other day of the week, more than one statement would be true. To solve the riddle, evaluate each person’s statement and write down what day it could be according to the statement. David’s statement indicates it could be any day of the week except for Wednesday. When you list the days that it could be according to everyone’s statement, it turns out Wednesday is the day mentioned only one time. Darryl: Sunday, Monday, Tuesday, or Wednesday Tracy: Monday Melissa: Saturday Ben: Thursday Adrienne: Saturday Susie: Friday David: Sunday, Monday, Tuesday, Thursday, Friday or Saturday
Show Answer
It is Wednesday. If it was any other day of the week, more than one statement would be true. To solve the riddle, evaluate each person’s statement and write down what day it could be according to the statement. David’s statement indicates it could be any day of the week except for Wednesday. When you list the days that it could be according to everyone’s statement, it turns out Wednesday is the day mentioned only one time. Darryl: Sunday, Monday, Tuesday, or Wednesday Tracy: Monday Melissa: Saturday Ben: Thursday Adrienne: Saturday Susie: Friday David: Sunday, Monday, Tuesday, Thursday, Friday or Saturday
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