1997 AMC 8 Problem 8

Attempt Problem 8 of the 1997 AMC 8 below, then check your answer against the professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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
Answer: B
Concepts:date and timeunit conversion
Small hint:
Subtract the class, lunch, and extra school time
Big hint:
Find the elapsed time from bus pickup to arriving home
Solution:
There are 8.58.5 hours between the time Walter catches the school bus and arrives at home.
This is a total of 60⋅8.5=510 60 \cdot 8.5 = 510 minutes.
The total time Walter spends at school is 6⋅50+30+2⋅60= 6 \cdot 50 + 30 + 2 \cdot 60 =300+30+120=450 300 + 30 + 120 = 450 minutes.
This means that Walter spends 510−450=60 510 - 450 = 60 minutes on the bus.
Thus, B is the correct answer.
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