1985 AMC 8 Problem 13

Attempt Problem 13 of the 1985 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 1985 AMC 8 solutions, or check the answer key.

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

13.

If you walk for 4545 minutes at a rate of 44 mph and then run for 3030 minutes at a rate of 1010 mph, how many miles have you gone at the end of one hour and 1515 minutes?
3.53.5 miles
88 miles
99 miles
251325\dfrac13 miles
480480 miles
Answer: B
Concepts:distance rate and timeunit conversion
Small hint:
Convert each time to hours: 4545 minutes =34= \dfrac34 hour and 3030 minutes =12= \dfrac12 hour
Big hint:
Distance == rate ×\times time for each part, then add the two distances
Solution:
Walking: 4×34=34 \times \dfrac34 = 3 miles. Running: 10×12=510 \times \dfrac12 = 5 miles.
The total distance is 3+5=83 + 5 = 8 miles.
Thus, the correct answer is B .
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