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Modulo Arithmetic & Congruence · Question 21 of 97

In which shift does the third service fall?

Question 21

HardOriginal question

A factory runs round the clock. A machine is serviced every 30 hours, the first service at 06:00 on a Monday. The shifts run from 06:00 to 14:00, 14:00 to 22:00 and 22:00 to 06:00.

In which shift does the third service fall?

06:00 to 14:00Correct answerYour answer14:00 to 22:00Correct answerYour answer22:00 to 06:00Correct answerYour answerBetween two shifts, exactly at a changeCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

The third service is $2 \times 30 = 60$ hours after the first: $6 + 60 = 66$ , and $66 = 24 \times 2 + 18$ .
18:00 on Wednesday lies in the 14:00 to 22:00 shift.

Concept: The 24-hour clock
Typical timeTypical: 150 s
Your timeYours: —

The rule this testsThe modulo operation

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