All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  An engineer undertakes a project to build a r... Start Learning for Free
SaveJoin the Discussion on the App
An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.?
Clear all your CAT doubts with EduRev
Most Upvoted Answer
An engineer undertakes a project to build a road 15 km long in 300 day...
Analysis:
The engineer planned to build a 15 km road in 300 days with 45 men. However, after 100 days only 2.5 km of the road has been completed, indicating a delay in the progress.

Calculations:
- The original rate of completion was 15 km in 300 days, which means 0.05 km per day per man.
- After 100 days, the expected progress should have been 5 km, but only 2.5 km was completed.
- This means the actual rate of completion was 0.025 km per day per man.

Calculating the shortfall:
- The shortfall in progress is 2.5 km (expected) - 2.5 km (actual) = 2.5 km.
- To complete the remaining 12.5 km in 200 days, the required rate of completion is 0.0625 km per day per man.

Calculating the number of extra men needed:
- The additional men required can be calculated using the formula:
Number of extra men = (Required rate of completion - Actual rate of completion) * 300 / 200
Number of extra men = (0.0625 - 0.025) * 300 / 200
Number of extra men = 0.0375 * 1.5
Number of extra men ≈ 5.625

Conclusion:
Approximately 6 extra men need to be employed to finish the remaining 12.5 km of the road in time.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Locomotive engines are manufactured in a factory at Rampur. The process of manufacturing an engine involves 10 different activities - Activity 1 to Activity 10. Some of these 10 activities cannot be started until other activities have been completed. For example Activity 3 cannot begin until Activity 2 has been completed and Activity 4 cannot begin until both Activities 1 and 2 are completed. The table below shows the minimum time required to complete each activity and the list of activities which must be completed before a particular activity can be started. The manufacturing process of an engine is said to be finished if at least one of activities A9 and A10 is completed.Each activity can be undertaken by only one person at a time and one person can work on only one activity at a time.Q. What is the minimum possible number of days in which any individual can finish manufacturing an engine working alone?

Locomotive engines are manufactured in a factory at Rampur. The process of manufacturing an engine involves 10 different activities - Activity 1 to Activity 10. Some of these 10 activities cannot be started until other activities have been completed. For example Activity 3 cannot begin until Activity 2 has been completed and Activity 4 cannot begin until both Activities 1 and 2 are completed. The table below shows the minimum time required to complete each activity and the list of activities which must be completed before a particular activity can be started. The manufacturing process of an engine is said to be finished if at least one of activities A9 and A10 is completed.Each activity can be undertaken by only one person at a time and one person can work on only one activity at a time.Q. What is the minimum possible number of days in which any individual can finish manufacturing an engine working alone, if both A9 and A10 are to be completed?

Directions for Questions:There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams T1, T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows.(

Directions for Questions:There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are "challenging", while the remaining ones are "standard". Each of the challenging projects has to be completed in different months. Every month, five teams T1, T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest.In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows.(

Top Courses for CATView all

Top Courses for CAT

An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.?
Question Description
An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.?.
Solutions for An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.? defined & explained in the simplest way possible. Besides giving the explanation of An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.?, a detailed solution for An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.? has been provided alongside types of An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.? theory, EduRev gives you an ample number of questions to practice An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. after 100 days only 2.5 km of the road has been completed full stop find the approximate number of extra men he must employ to finish the work in time.? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup