1997 AMC 8 Problem 8

Below is the professionally curated solution for Problem 8 of the 1997 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1997 AMC 8 solutions, or check the answer key.

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Concepts:date and timeunit conversion

Difficulty rating: 930

8.

Walter gets up at 6:306:30 a.m., catches the school bus at 7:307:30 a.m., has 66 classes that last 5050 minutes each, has 3030 minutes for lunch, and has 22 hours additional time at school. He takes the bus home and arrives at 4:004:00 p.m. How many minutes has he spent on the bus?

3030

6060

7575

9090

120120

Solution:

There are 8.58.5 hours between the time Walter catches the school bus and arrives at home.

This is a total of 608.5=510 60 \cdot 8.5 = 510 minutes.

The total time Walter spends at school is 650+30+260= 6 \cdot 50 + 30 + 2 \cdot 60 =300+30+120=450 300 + 30 + 120 = 450 minutes.

This means that Walter spends 510450=60 510 - 450 = 60 minutes on the bus.

Thus, B is the correct answer.

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