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45 men complete 60% of the work in 12 days working 5 hours in a day. If after 10 days, only 40% of the work is completed, then how many additional hours required to complete the work on time and without increasing the number of men?
- a)2 hours
- b)5 hours
- c)7 hours
- d)9 hours
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
45 men complete 60% of the work in 12 days working 5 hours in a day. ...
Let's break down the given information and solve the problem step by step:
Given:
- 45 men complete 60% of the work in 12 days working 5 hours in a day.
- After 10 days, only 40% of the work is completed.
- We need to find the additional hours required to complete the work on time without increasing the number of men.
Step 1: Calculate the total work
Since 45 men complete 60% of the work in 12 days working 5 hours in a day, we can calculate the total work as follows:
Total work = (60/100) * 45 * 12 * 5
Step 2: Calculate the remaining work
After 10 days, only 40% of the work is completed. Therefore, the remaining work is:
Remaining work = Total work - (40/100) * Total work
Step 3: Calculate the work done in 10 days
The work done in 10 days can be calculated as:
Work done in 10 days = Total work - Remaining work
Step 4: Calculate the work done per day
The work done per day can be calculated as:
Work done per day = Work done in 10 days / 10
Step 5: Calculate the additional hours required
To complete the remaining work on time, we need to find the additional hours required. Let's assume it to be x.
Additional work done in x hours = 45 men * x hours
Step 6: Set up the equation
The equation can be set up as follows:
Work done in 10 days + Additional work done in x hours = Remaining work
Step 7: Solve the equation for x
Work done in 10 days + 45 men * x hours = Remaining work
Work done in 10 days + 45x = Remaining work
Step 8: Substitute the values
Substituting the values in the equation, we get:
Work done in 10 days + 45x = Remaining work
Work done in 10 days + 45x = Total work - (40/100) * Total work
Step 9: Solve for x
x = (Remaining work - Work done in 10 days) / 45
Step 10: Substitute the remaining work and work done in 10 days
Substituting the values in the equation, we get:
x = (Total work - (40/100) * Total work - (Work done in 10 days)) / 45
Step 11: Simplify the equation
x = (Total work - (40/100) * Total work - (Work done in 10 days)) / 45
x = (Total work - 0.4 * Total work - (Work done in 10 days)) / 45
Step 12: Substitute the values of Total work and Work done in 10 days
Substituting the values in the equation, we get:
x = ((60/100) * 45 * 12 * 5 - 0.4 * (60/100) * 45 * 12 * 5 - (Work done in 10 days)) / 45
Step 13: Solve for x
Calculating the equation, we get:
x = (10800 - 4320 - (Work done in 10 days)) / 45
x =
Given:
- 45 men complete 60% of the work in 12 days working 5 hours in a day.
- After 10 days, only 40% of the work is completed.
- We need to find the additional hours required to complete the work on time without increasing the number of men.
Step 1: Calculate the total work
Since 45 men complete 60% of the work in 12 days working 5 hours in a day, we can calculate the total work as follows:
Total work = (60/100) * 45 * 12 * 5
Step 2: Calculate the remaining work
After 10 days, only 40% of the work is completed. Therefore, the remaining work is:
Remaining work = Total work - (40/100) * Total work
Step 3: Calculate the work done in 10 days
The work done in 10 days can be calculated as:
Work done in 10 days = Total work - Remaining work
Step 4: Calculate the work done per day
The work done per day can be calculated as:
Work done per day = Work done in 10 days / 10
Step 5: Calculate the additional hours required
To complete the remaining work on time, we need to find the additional hours required. Let's assume it to be x.
Additional work done in x hours = 45 men * x hours
Step 6: Set up the equation
The equation can be set up as follows:
Work done in 10 days + Additional work done in x hours = Remaining work
Step 7: Solve the equation for x
Work done in 10 days + 45 men * x hours = Remaining work
Work done in 10 days + 45x = Remaining work
Step 8: Substitute the values
Substituting the values in the equation, we get:
Work done in 10 days + 45x = Remaining work
Work done in 10 days + 45x = Total work - (40/100) * Total work
Step 9: Solve for x
x = (Remaining work - Work done in 10 days) / 45
Step 10: Substitute the remaining work and work done in 10 days
Substituting the values in the equation, we get:
x = (Total work - (40/100) * Total work - (Work done in 10 days)) / 45
Step 11: Simplify the equation
x = (Total work - (40/100) * Total work - (Work done in 10 days)) / 45
x = (Total work - 0.4 * Total work - (Work done in 10 days)) / 45
Step 12: Substitute the values of Total work and Work done in 10 days
Substituting the values in the equation, we get:
x = ((60/100) * 45 * 12 * 5 - 0.4 * (60/100) * 45 * 12 * 5 - (Work done in 10 days)) / 45
Step 13: Solve for x
Calculating the equation, we get:
x = (10800 - 4320 - (Work done in 10 days)) / 45
x =
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Community Answer
45 men complete 60% of the work in 12 days working 5 hours in a day. ...
The total work = 45 * 5 * 12 * 100/60 = 2700 * 100/60 = 4500 units
Number of days to complete the work = 4500/(45 * 5) = 20 days
The work completed in 10 days = 4500 * 40/100 = 1800 units
The remaining work = 4500 - 1800 = 2700 units
2700 = 45 * (20 - 10) * (5 + x)
6 = 5 + x
x = 1 hour
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45 men complete 60% of the work in 12 days working 5 hours in a day. If after 10 days, only 40% of the work is completed, then how many additional hours required to complete the work on time and without increasing the number of men?a)2 hoursb)5 hoursc)7 hoursd)9 hourse)None of theseCorrect answer is option 'E'. Can you explain this answer?
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45 men complete 60% of the work in 12 days working 5 hours in a day. If after 10 days, only 40% of the work is completed, then how many additional hours required to complete the work on time and without increasing the number of men?a)2 hoursb)5 hoursc)7 hoursd)9 hourse)None of theseCorrect answer is option 'E'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about 45 men complete 60% of the work in 12 days working 5 hours in a day. If after 10 days, only 40% of the work is completed, then how many additional hours required to complete the work on time and without increasing the number of men?a)2 hoursb)5 hoursc)7 hoursd)9 hourse)None of theseCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 45 men complete 60% of the work in 12 days working 5 hours in a day. If after 10 days, only 40% of the work is completed, then how many additional hours required to complete the work on time and without increasing the number of men?a)2 hoursb)5 hoursc)7 hoursd)9 hourse)None of theseCorrect answer is option 'E'. Can you explain this answer?.
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