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vagabundo [1.1K]
2 years ago
8

Bob takes the subway to work and uses an escalator at the railway station. If Bob runs up 8 steps of the escalator, then it take

s him 46.5 seconds to reach the top of the escalator. If he runs up 13 steps of the escalator, then it takes him only 39.0 seconds to reach the top. How many seconds would it take Bob to reach the top if he did not run up any steps of the escalator?
Mathematics
1 answer:
olga nikolaevna [1]2 years ago
8 0
 <span>x - 8y = 46.5 
x - 13y = 39.0 

subtract the equations to solve for y 

5 y = 46.5 - 39 
y = 1.5 so he saves 1.5 seconds per step he runs. 

sub in y to solve for x 
x - 8 (1.5) = 46.5 
x - 12 = 46.5 
x = 58.5 seconds </span>
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Step-by-step explanation:

(1). FCFS is generally based on what is refer to as first come, first serve. That is to say the first one to come will be treated first so, we have that;

FCFS = 81 + 857 + 1084 + 504 + 2256 + 1074 + 1262 + 1167 + 3442 + 1284 = 13011.

(2). (SSTF) Is all about the shortest distance, for example in this question the shortest distance is =

Thus;

Total distance = (2150 - 2069) + (2296 - 2069) + ( 2296 - 2800) +( 3681 - 2800) + (4965 - 3681) + ( 4965 - 1618) + ( 1618-1523) + ( 1523-1212) + ( 1212-544) + ( 544 - 356).

=81 + 227 + 504 + 881 + 1284 + 3347 + 95 + 311 + 668 + 188 = 7586.

(3).SCAN deals with the processing of the nearest request

The distance =146 + 504 +881 + 1284 + 34(4999-4965) + 2930(4999-2069) + 451 + 95 + 311 + 668 +188 = 7492.

(4). LOOK is just like scan.

The distance = 146 + 504 + 881 + 1284 + 2896 + 451 + 95 + 311 + 668 + 188 = 7424.

(5). C-SCAN: this is the kind of scan from one end to the other.

The distance = 146 + 504 +881 +1284 + 34 (4999 - 4965) + 4999 (4999 -0 )+ 356 (356 -0 )+ 188 + 668 + 311 + 95 + 451 = 9917.

(6). C-LOOK : moves in the following order: 2150, 2296, 2800, 3681, 4965, here head moves back 356, 544, 1212, 1523, 1618, 2069.

Thus;

The distance = 146 + 504 + 881+ 1284 + 4609 (4965 - 356) + 188 + 668 + 311+ 95 + 451 = 9137.

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