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I. 8x² - 78x + 169 = 0 => (4x - 13) (2x – 13) = 0 ⇒ x = 13/4 , 13/2 II. 20y² - 117y + 169 = 0 => (4y -13) (5y – 13) = 0 ⇒ y = 13/4 , 13/5 Hence, x ≥ y
‘A’ can do a piece of work in 10 days. ‘B’ can do 70% of the same work in 20 days. If they work together for the entire time and get paid Rs.108...
In a factory, there are 3 machines. Machine A completes a task in 8 days, Machine B completes it in 12 days, and Machine C completes it in 15 days. If a...
Anil and Ashish receive Rs.1800 for work of 6 days. If Anil is 3 times efficient than Ashish, then find the daily wage received by Ashish.
'A' alone can finish a job in 12 days. If 'A' is twice as efficient as 'B' who is 20% as efficient as 'C', then find the time taken to finish the job if...
A and B can jointly finish a task in 42 days, while B and C together take 35 days to finish the same task. If B can finish the task alone in 105 days, h...
Three workers P1, P2 and P3 got work from the contractor. In 30 days, ‘P1’ completed 30% of work. ‘P2’ is 20% less efficient tha...
A can complete a job in 20 hours. B alone can complete the same job in 15 hrs. A work for 9 hrs and then the remaining job is completed by B. How many h...
A and B are capable of completing a project individually in 40 days and 50 days, respectively. Initially, A and B collaborated on the project, and after...
If 'A' needs 24 more days to complete a certain task working alone compared to when 'A' and 'B' work together, and 'A' is 50% more efficient than 'B', w...
A, B, and C can complete a task individually in 45, 35, and 63 days respectively. They start working together, but A leaves 24 days before the work is c...
