1988 AHSME Problems/Problem 7

Problem

Estimate the time it takes to send $60$ blocks of data over a communications channel if each block consists of $512$ "chunks" and the channel can transmit $120$ chunks per second.

$\textbf{(A)}\ 0.04 \text{ seconds}\qquad \textbf{(B)}\ 0.4 \text{ seconds}\qquad \textbf{(C)}\ 4 \text{ seconds}\qquad \textbf{(D)}\ 4\text{ minutes}\qquad \textbf{(E)}\ 4\text{ hours}$

Solution

We want to figure out the number of chunks in $60$ blocks, so we have $60\cdot 512 \approx 30000$. We divide this by $120$ to determine the number of seconds necessary to transmit. $30000/120 \approx 250$, which means that it takes approximately $4$ minutes to transmit. Thus, the answer is $\boxed{\text{D}}$.

See also

1988 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
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