Bhanu Chaudhary
Poll
Professional
Asked: 2022-03-02T15:43:07+05:30

If 12 engines consume 30 metric tonnes of coal when each is running 18h per day, how much coal will be required for 16 engines, each running 24 h per day, it being given that 6 engines of former type consume as much as 8 engines of latter type?

Poll Results

Please login to vote and see the results.

Select one answer

If 12 engines consume 30 metric tonnes of coal when each is running 18h per day, how much coal will be required for 16 engines, each running 24 h per day, it being given that 6 engines of former type consume as much as 8 engines of latter type?

Share

    Answer this question & earn 50 points

    Don't have an account?

    1 Answer

    1. Professional

      Correct Answer: 40 tonnes

      Let the required quantity of Coal consumed = x.

      More engines, More coal consumption (Direct proportion)

      More hours, More coal consumption (Direct proportion)

      Less rate of consumption, Less coal consumption (Direct proportion)

      Engines 12 : 16 :: 30 : x

      Working hours 18 : 24 )

      Rate of consumption 1/6 : 1/8 )

      Therefore, => m=1/4×20

      12×18×1/6×x=16×24×1/8×30

      => 36x = 1440

      Therefore, x = 1440/36 = 40

      Hence, quantity of coal consumed will be 40 tonnes

      • 0
    aalan