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26 Mar 2021, 15:59
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My approach:
After 2 days, they made 1/5 + 1/6 + 2/15 = 6/30 + 5/30 + 4/30 = 15/30 of the work
Carla alone does 3/15 = 6/30 of the work.
Together, Ben and Carla have to make 9/30 of the work.
In 1 day the make 2,5/30 + 2/30 = 4,5/30 of the work.
After 2 days, they made 1/5 + 1/6 + 2/15 = 6/30 + 5/30 + 4/30 = 15/30 of the work
Carla alone does 3/15 = 6/30 of the work.
Together, Ben and Carla have to make 9/30 of the work.
In 1 day the make 2,5/30 + 2/30 = 4,5/30 of the work.
aashusuman1
Joined: 27 Feb 2022
Last visit: 22 May 2024
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Given Kudos: 33
Schools: Fisher '26 (S)
05 Oct 2023, 11:40
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Say,
Number of unit = 60 ( LCM - easy calculation)
This implies that,
A makes 6unit/day, b makes 5 unit/day & c makes 4 units/days.
No all are working together for 2 days. = 15*2 = 30 unit made in 2 days.
Carla worked alone for 3 days and made 12 units.
Remaining 18 units were made by b & c combined = 18/9 = 2 days.
total = 7 days
Number of unit = 60 ( LCM - easy calculation)
This implies that,
A makes 6unit/day, b makes 5 unit/day & c makes 4 units/days.
No all are working together for 2 days. = 15*2 = 30 unit made in 2 days.
Carla worked alone for 3 days and made 12 units.
Remaining 18 units were made by b & c combined = 18/9 = 2 days.
total = 7 days
23 Apr 2025, 03:20
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Abel can complete a work in 10 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 3 days before the completion of the work.
How long did the work last?
Let the work last for x days.
Abel worked for 2 days
Ben worked for (x-3) days
Carla worked for x days
2/10 + (x-3)/12 + x/15 = 1
x/15 + x/12 = (4+5)x/60 = 9x/60 = 1 + 3/12 - 2/10 = 1 + 1/4 - 1/5 = (20 + 5 - 4)/20 = 21/20
x = 21*60/9*20 = 7 days
IMO B
How long did the work last?
Let the work last for x days.
Abel worked for 2 days
Ben worked for (x-3) days
Carla worked for x days
2/10 + (x-3)/12 + x/15 = 1
x/15 + x/12 = (4+5)x/60 = 9x/60 = 1 + 3/12 - 2/10 = 1 + 1/4 - 1/5 = (20 + 5 - 4)/20 = 21/20
x = 21*60/9*20 = 7 days
IMO B
