Question : K1 can do a piece of work alone in 4 days, K2 can do the same work alone in 8 days, while K3 can do it alone in 32 days. They work together to complete the work and receive a total of Rs. 3,900 as payment for doing the work. What is the share of the person who received the maximum amount?
Option 1: Rs. 1,200
Option 2: Rs. 2,400
Option 3: Rs. 2,000
Option 4: Rs. 1,600
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: Rs. 2,400
Solution : Let the rates at which K1, K2, and K3 work as R1, R2, and R3 respectively. K1 can do the work alone in 4 days, R1 = $\frac{1}{4}$ K2 can do the work alone in 8 days, R2 = $\frac{1}{8}$ K3 can do the work alone in 32 days, R3 = $\frac{1}{32}$ The total rate when they work together = R1 + R2 + R3 = $\frac{1}{4} + \frac{1}{8} + \frac{1}{32} = \frac{13}{32}$ So, the share of each person is proportional to their rate of work. Share = $\frac{\text{Individual rate}}{\text{ Total rate}}$ × Total payment The share of K1 = $\frac{R1}{R1+R2+R3} \times 3900 = \frac{1}{4}×\frac{32}{13}\times 3900 =2400$ The share of K2 = $\frac{R2}{R1+R2+R3}\times 3900 = \frac{1}{8}×\frac{32}{13}\times 3900 =1200$ The share of K3 = $\frac{R3}{R1+R2+R3}\times 3900 = \frac{1}{32}×\frac{32}{13}\times 3900 =300$ The share of the person who received the maximum amount is Rs. 2,400. Hence, the correct answer is Rs. 2,400.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : G1 can do a piece of work alone in 20 days, G2 can do the same piece of work alone in 40 days, and G3 can do it alone in 60 days. They worked together and completed the work. If the combined share received by
Question : J1 can do a piece of work alone in 10 days, J2 can do the same work alone in 12 days, while J3 can do it alone in 15 days. They work together and complete the work, and receive a total of INR 2,250 for doing the work. What is the difference in
Question : If K1 and K2 are two distinct prime numbers, then what is the product of the highest common factor and the least common multiple of K1 and K2?
Question : S1 and S2 can do a piece of work together in 18 days, S2 and S3 can do the same work together in 27 days, while S3 and S1 can do it together in 54 days. In how many days can all 3,
Question : P alone can do work in 10 days, Q alone can do the same work in 15 days and R alone can do the same work in 12 days. They jointly complete the work and earn Rs. 3000. What is the share of R?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile