### Brain Teasers

# The Airport

Math
Math brain teasers require computations to solve.

Jake was planning to go to another country to visit relatives. The trip to the airport was long and boring, and since he didn't have a license, his mother had to drive him.

Jake was driven to the airport once from his house when he realized that he forgot his passport at home. His mother went back, got it, then brought it back. He then said he left his wallet at home. She went to get it, came back, and he had some more bad news. He left his cell phone at home. She went to go get it, but exactly halfway back, she found it in the glove compartment. She brought it back to him immediately, and he went off with his flight.

Assuming that the average car speed was 75 kph, the distance between the house and airport was exactly 50 km, and ignoring facts such as U-Turn time, time talking to son at the airport, time getting items, etc, how long did it take for Jake to leave, with the time starting when he left his house?

Jake was driven to the airport once from his house when he realized that he forgot his passport at home. His mother went back, got it, then brought it back. He then said he left his wallet at home. She went to get it, came back, and he had some more bad news. He left his cell phone at home. She went to go get it, but exactly halfway back, she found it in the glove compartment. She brought it back to him immediately, and he went off with his flight.

Assuming that the average car speed was 75 kph, the distance between the house and airport was exactly 50 km, and ignoring facts such as U-Turn time, time talking to son at the airport, time getting items, etc, how long did it take for Jake to leave, with the time starting when he left his house?

### Hint

How many times did the car drive exactly 50 kilometers?### Answer

Reading the whole story, the car drove the distance 6 times. 3 times to the airport, two back, and two half-times. 6*50 is 300.300/75 is 4, so it took 4 hours ignoring other little details.

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