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1. Ganga and Saraswati, working separately can mow field in 8 and 12 hours respectively. If they work in stretches of one hour alternately. Ganga is beginning at 9 a.m., when will the moving be completed?

According to question,
Ganga begins at 9 am and she does 3 units/hours
Saraswati begins at 10 am and she does 2 units/hours
So by 11 am they complete 5 units
Time
(4 cycle of 2 hrs each + 4 units left)
And now ganga will complete 3 unit out of 4 units in 1 hr
Now, rest 1 unit work done by = hr
Total time = 8 + 1 + = 9 hr
Hence,Work finished at
= 9 am + 9 hr
= 6:30 PM
Alternate Solution:
Work done by Ganga in 1 hour =
Work done by Saraswati in 1 hour =
They are working alternatively with Ganga beginning the job.
Work done in every two hours = + =
Work done in 4 × 2 = 8 hours = =
Remaining work = 1 - =
In 9th hour, Ganga starts the work and does of the work
Work remaining = - =
In 10th hour, Saraswati starts the work
Time needed to finish the remaining work
0.5 hours
30 minutes
i.e., work will be completed in 9 hour 30 minutes, after 9 AM
i.e., at 6:30 PM
Solution:

According to question,
Ganga begins at 9 am and she does 3 units/hours
Saraswati begins at 10 am and she does 2 units/hours
So by 11 am they complete 5 units
Time
(4 cycle of 2 hrs each + 4 units left)
And now ganga will complete 3 unit out of 4 units in 1 hr
Now, rest 1 unit work done by = hr
Total time = 8 + 1 + = 9 hr
Hence,Work finished at
= 9 am + 9 hr
= 6:30 PM
Alternate Solution:
Work done by Ganga in 1 hour =
Work done by Saraswati in 1 hour =
They are working alternatively with Ganga beginning the job.
Work done in every two hours = + =
Work done in 4 × 2 = 8 hours = =
Remaining work = 1 - =
In 9th hour, Ganga starts the work and does of the work
Work remaining = - =
In 10th hour, Saraswati starts the work
Time needed to finish the remaining work
0.5 hours
30 minutes
i.e., work will be completed in 9 hour 30 minutes, after 9 AM
i.e., at 6:30 PM