1988 AMC 12 Problem 7

Attempt Problem 7 of the 1988 AMC 12 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 1988 AMC 12 solutions, or check the answer key.

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

7.

Estimate the time it takes to send 6060 blocks of data over a communications channel if each block consists of 512512 “chunks” and the channel can transmit 120120 chunks per second.
0.040.04 seconds
0.40.4 seconds
44 seconds
44 minutes
44 hours
Answer: D
Concepts:unit ratesestimationunit conversion
Small hint:
Compute the total number of chunks first
Big hint:
Convert the resulting number of seconds to minutes
Solution:
The transmission takes 60⋅512120=256\frac{60\cdot512}{120}=256 seconds, which is a little over 44 minutes.
Thus the correct answer is D.
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