Twenty females can finish a project in sixteen days, whereas sixteen males complete the same task in fifteen days. What is the efficiency ratio between a male worker and a female worker?
Show answer Hide answer
Answer: B. 4 : 3
Explanation
The total work required for females is calculated by multiplying twenty workers by sixteen days. The total work required for males is found by multiplying sixteen workers by fifteen days. Dividing the male total work by the female total work yields the simplified ratio. Worker efficiency is inversely proportional to the time required to complete identical tasks. Total work in such problems is measured in worker-days or similar aggregate units. The calculated ratio compares the relative productivity of individual male versus female workers.
Work and time problems are common in project management and resource allocation scenarios. Determining relative labor efficiency helps contractors estimate staffing requirements accurately for construction. Understanding productivity ratios allows organizations to optimize workforce deployment across various industrial projects. Option A reverses the numerator and denominator, incorrectly favoring the female worker productivity. Option C incorrectly assumes a five-to-three ratio based on unverified worker counts. Option D is incorrect because sufficient workforce data is provided to calculate the ratio.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. A railway convoy measuring 240 m in length clears a telegraph pole in 24 seconds. How much duration will it need to traverse a 650 m long station platform?
Show answer Hide answer
Answer: B. 89 Sec
Dividing the train length of two40 meters by its pole clearance time of twenty-four seconds gives a speed of ten meters per second. To clear a platform completely, a train must travel a distance equal to the sum of its o...
Q2. Two valves, A and B, can fill a water reservoir in 12 and 15 minutes respectively. Both operate simultaneously, but valve A is shut off after 3 minutes. How much additional time is required to completely fill the reservoir?
Show answer Hide answer
Answer: C. 8 1/4 min
Valves A and B fill one twelfth and one fifteenth of the reservoir per minute respectively. Working together for three minutes, they fill a combined total of nine twentieths of the total reservoir capacity. The remaining...
Q3. Two inlet pipes A and B can fill a basin in 20 and 30 minutes individually. Operating both pipes concurrently, how much duration is needed to fill the basin?
Show answer Hide answer
Answer: A. 12 min
Inlet pipes A and B possess individual work rates of one twentieth and one thirtieth per minute. Adding one twentieth and one thirtieth gives a combined rate of five over sixty or one twelfth per minute. Taking the recip...
Q4. Two pipes A and B fill a water reservoir in 4 and 5 hours respectively. Operating them sequentially for one hour each on an alternating basis, what duration is required to fill the container?
Show answer Hide answer
Answer: B. 4 hrs 24 min
Pipe A fills one quarter of the tank every single hour. Pipe B fills one fifth of the tank during its operating hour. Alternating operation fills nine twentieths of the tank every two hours. Work rates of individual pipe...
Q5. Two quantities X and Y trail a third quantity Z by 20% and 28% respectively. By what percentage does quantity Y fall short of quantity X?
Show answer Hide answer
Answer: C. 10%
Letting the third reference quantity Z be one hundred, quantity X equals eighty and quantity Y equals seventy two. The absolute difference between quantity X and quantity Y is eight units based on these established value...
Q6. Two inlet pipes A and B can fill a reservoir in 20 and 30 minutes respectively, whereas a third valve C empties it within 40 minutes. What duration is needed to fill the container if all three pipes operate simultaneously?
Show answer Hide answer
Answer: C. 17 1/7 min
Inlet pipe rates are one twentieth and one thirtieth while the emptying valve rate is one fortieth per minute. Combining the filling and emptying rates yields six plus four minus three over one hundred twenty. The net ra...