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S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?
- a)1:1
- b)1:2
- c)1:4
- d)2:1
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
S, M, E and F are working in shifts in a team to finish a project. M w...
To solve this problem, we need to determine the contributions of each team member and then find the ratio between the contributions of M and E.
Given information:
- M works with twice the efficiency of others.
- M works for half as many days as E.
- S and M have 6-hour shifts in a day.
- E and F have 12-hour shifts in a day.
Let's assume that the total work required to complete the project is 1 unit.
1. Determine the contributions of each team member:
- Since M works with twice the efficiency of others, the contribution of M in 1 day is 2 units.
- The contribution of S in 1 day is 1 unit (assuming the efficiency of S is 1 unit per day).
- Since E works for twice the number of days as M, we can assume E works for 2 days. So, the contribution of E in 2 days is 2 units.
- The contribution of F in 1 day is 1 unit (assuming the efficiency of F is 1 unit per day).
2. Determine the number of shifts worked by each team member:
- Since S and M have 6-hour shifts in a day, they work for 4 shifts in 1 day (6 hours per shift).
- Since E and F have 12-hour shifts in a day, they work for 2 shifts in 1 day (12 hours per shift).
3. Calculate the total contribution of each team member:
- S and M work for 4 shifts in a day, so their total contribution in 1 day is 4 units (S: 1 unit + M: 2 units + M: 1 unit).
- E and F work for 2 shifts in a day, so their total contribution in 1 day is 2 units (E: 2 units + F: 1 unit).
4. Calculate the ratio of contribution between M and E:
- The contribution of M in 1 day is 2 units.
- The contribution of E in 2 days is 2 units.
- Therefore, the ratio of contribution of M to E is 2:2, which simplifies to 1:2.
Hence, the correct answer is option B) 1:2.
Given information:
- M works with twice the efficiency of others.
- M works for half as many days as E.
- S and M have 6-hour shifts in a day.
- E and F have 12-hour shifts in a day.
Let's assume that the total work required to complete the project is 1 unit.
1. Determine the contributions of each team member:
- Since M works with twice the efficiency of others, the contribution of M in 1 day is 2 units.
- The contribution of S in 1 day is 1 unit (assuming the efficiency of S is 1 unit per day).
- Since E works for twice the number of days as M, we can assume E works for 2 days. So, the contribution of E in 2 days is 2 units.
- The contribution of F in 1 day is 1 unit (assuming the efficiency of F is 1 unit per day).
2. Determine the number of shifts worked by each team member:
- Since S and M have 6-hour shifts in a day, they work for 4 shifts in 1 day (6 hours per shift).
- Since E and F have 12-hour shifts in a day, they work for 2 shifts in 1 day (12 hours per shift).
3. Calculate the total contribution of each team member:
- S and M work for 4 shifts in a day, so their total contribution in 1 day is 4 units (S: 1 unit + M: 2 units + M: 1 unit).
- E and F work for 2 shifts in a day, so their total contribution in 1 day is 2 units (E: 2 units + F: 1 unit).
4. Calculate the ratio of contribution between M and E:
- The contribution of M in 1 day is 2 units.
- The contribution of E in 2 days is 2 units.
- Therefore, the ratio of contribution of M to E is 2:2, which simplifies to 1:2.
Hence, the correct answer is option B) 1:2.
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Community Answer
S, M, E and F are working in shifts in a team to finish a project. M w...
Let the efficiency of M = 2 [ efficiency of S, E, and F]
The amount of work done by M in the project = x days × 6 hrs. ×2
The amount of work done by M in the project = 2x days × 12 hrs. ×1
The amount of work done by M: The amount of work done by M
x × 6 × 2 : 2x × 12 × 1
1 : 2 so option(b) is correct
‘M’ works with twice efficiency as E but worked for half as many days. So in this repsect they willdo equal work if their shifts would have been for same timings. But M’s shift is for hrs, while E’sshift for 12 hrs. Hence E will do twice the work as M.Ratio of contribution of M : E in work, 1 : 2
The amount of work done by M in the project = x days × 6 hrs. ×2
The amount of work done by M in the project = 2x days × 12 hrs. ×1
The amount of work done by M: The amount of work done by M
x × 6 × 2 : 2x × 12 × 1
1 : 2 so option(b) is correct
‘M’ works with twice efficiency as E but worked for half as many days. So in this repsect they willdo equal work if their shifts would have been for same timings. But M’s shift is for hrs, while E’sshift for 12 hrs. Hence E will do twice the work as M.Ratio of contribution of M : E in work, 1 : 2
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S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?a)1:1b)1:2c)1:4d)2:1Correct answer is option 'B'. Can you explain this answer?
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S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?a)1:1b)1:2c)1:4d)2:1Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?a)1:1b)1:2c)1:4d)2:1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?a)1:1b)1:2c)1:4d)2:1Correct answer is option 'B'. Can you explain this answer?.
S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?a)1:1b)1:2c)1:4d)2:1Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?a)1:1b)1:2c)1:4d)2:1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?a)1:1b)1:2c)1:4d)2:1Correct answer is option 'B'. Can you explain this answer?.
Solutions for S, M, E and F are working in shifts in a team to finish a project. M works with twice the efficiency of others but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the project?a)1:1b)1:2c)1:4d)2:1Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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