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Math Expert V
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One millisecond is 0.001 of a second. The costs for a single run of a  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 78% (02:16) correct 22% (02:48) wrong based on 147 sessions

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One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead,$0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ? (A)$7.15
(B) $8.87 (C)$28.96
(D) $35.57 (E)$39.92

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Re: One millisecond is 0.001 of a second. The costs for a single run of a  [#permalink]

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Operating system overhead for 1 run = 1.07 $Mounting of data tape = 4.35$
Cost per 1 millisecond of computer time = .023 $Total cost of 1 run of a program that requires 1.5 seconds of computer time = 1.07 + (.023*1500) + 4.35 =1.07 + 34.5 + 4.35 = 39.92$

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Bunuel wrote:
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead,$0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ? One millisecond = $$\frac{1}{1000}$$ Second Or we can say, 1 second = Thousand milliseconds Cost for a single run of a computer program = Operating-system overhead + Charges for mounting of a data tape + Variable Cost Cost for a single run of a computer program =$1.07 + $4.35 +$34.5( 1.5 * $0.023 * 1000) =$39.92

Hence answer is (E) $39.92 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) CEO  V Joined: 12 Sep 2015 Posts: 3777 Location: Canada Re: One millisecond is 0.001 of a second. The costs for a single run of a [#permalink] Show Tags 1 Bunuel wrote: One millisecond is 0.001 of a second. The costs for a single run of a computer program are$1.07 for operating-system overhead, $0.023 per millisecond of computer time, and$4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?

(A) $7.15 (B)$8.87
(C) $28.96 (D)$35.57
(E) $39.92 Two of the costs are fixed:$1.07 for operating-system overhead
$4.35 for the mounting of a data tape So, let's focus on$0.023 per millisecond of computer time.
Rewrite as: $0.023 for every 0.001 of a second Multiply both numbers by 1000 to get:$23.00 for every 1 second
Multiply both numbers by 1.5 to get: $34.50 for 1.5 seconds So, the computer time costs$34.50

$34.50 +$4.35 + $1.07 = MORE THAN$35.57

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Brent
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One millisecond is 0.001 of a second. The costs for a single run of a  [#permalink]

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Good question

First notice that the major cost component is the computer time. For a program that runs for 1.5 seconds the cost will be 1.5 seconds * ($0.023 per millisecond) Converting 1.5 seconds to milliseconds $$= \frac{1.5}{0.001}$$ = 1500 The cost for computer time is 1500*$0.023.

Approximating: Notice that 1500*$.020 is$30 and 1500*$0.002 is$3 this eliminates A,B and C. The precise value is over $33 Now adding the two remaining cost components, i.e system overhead of$1.07 and mounting tape cost of $4.35 brings us over$38 which eliminates D.

The only answer left is E
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Re: One millisecond is 0.001 of a second. The costs for a single run of a  [#permalink]

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Bunuel wrote:
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead,$0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ? (A)$7.15
(B) $8.87 (C)$28.96
(D) $35.57 (E)$39.92

Since 1.5 seconds = 1.5 x 1000 = 1500 milliseconds, the total cost is:

1.07 + 0.023(1500) + 4.35 = \$39.92

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: One millisecond is 0.001 of a second. The costs for a single run of a   [#permalink] 19 May 2019, 20:08
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