Question

time taken to complete a work by A alone is 200% more than the time taken by both A and B to complete the work. B is trice as efficient as C. B and C together take 15 days to complete the same work. How many days A will take to complete the work?​

Answer 1

Answer:

Ratio of time taken by A and B to complete a work = 2 ∶ 3

∴ Ratio of efficiency of A and B = 3 ∶ 2

Let, efficiency of A = 3x/day and efficiency of B = 2x/day

Let, quantity of total work = a

According to problem,

⇒ 5 × 3x + 10 × 2x = 0.7a

⇒ 0.7a = 35x

⇒ a = 50x

Let, they together do the work in = y days

⇒ y × (3x + 2x) = 50x

⇒ y = 50x/5x

⇒ y = 10

∴ They together will complete the work in = 10 days