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Question

Find who actually worked the most?

Name Working time duration Break time
Mahesh quarter past 9 - half past 6 24 minutes
Shivansh half past 9 - quarter past 6 21 minutes
Ganesh quarter to 10 - half past 6 22 minutes


A
Mahesh
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B
Ganesh
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C
Shivansh
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D
All worked for the same time
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Solution

The correct option is A Mahesh
Let us take each one of them.
(a) Mahesh's Working time
= 9:15 to 6:30
= 9:15 to 18:30
= 9 hours 15 minutes (18 - 9 = 9 and 30 - 15 = 15)
Actual work done excluding break
= 9 hours 15 minutes - 24 minutes
24 can be written as 15 + 9
= 9 hours 15 minutes - 15 minutes - 15 minutes
= 9 hours - 9 minutes
= 8 hours 51 minutes
(b) Shivansh - Working time
= 9:30 to 6:15
= 9:30 to 18:15
Since minutes in the second time is lesser than the minutes in the first time,we will first calculate
17:30 - 9:30 = 8 hours
17:30 + 30 = 18:00
18:00 + 15 = 18:15
= 8 hours + 30 minutes + 15 minutes
= 8 hours 45 minutes
Actual work done
= 8 hours 45 minutes - 21 minutes
= 8 hours 24 minutes
(c) Ganesh - Working time
= 9:45 to 6:30
= 9:45 to 18:30
Since minutes in the second time is lesser than the minutes in the first time,we will first calculate
17:45 - 9:45 = 8 hours
17:45 + 15 = 18:00
18:00 + 30 = 18:30
= 8 hours + 30 minutes + 15 minutes
= 8 hours 45 minutes
Actual work done
= 8 hours 45 minutes - 22 minutes
= 8 hours 23 minutes

Hence, Mahesh worked the most.

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