a tiger eats a lamm in 3 hours a lion eats a lamm in 6 hours a bird eats a lamm in 10 hours if they eat together how long does it take?
a tiger eats a lamm in 3 hours a lion eats a lamm in 6 hours a bird eats a lamm in 10 hours if they eat together how long does it take?
1/3 lamm/hr is tiger's rate
1/6 lamm/hr is lion's rate
1/10 lamm/hr is bird's rate
add rates 1/3 + 1/6 + 1/10 is the rate for all together
1 1 1
–– + –– + ––
3 6 10
10 5 3 18
–– + –– + –– = –– lamm / hr
30 30 30 30
invert rate 30
–– hr / lamm reduces to 1 2/3 hour per lamm
18
So, it takes the three of them together 1 hour and 40 minutes to eat a lamm
.