Contact Style About

A and B can do a piece of work in 12 days. B and C together do it in 15 days. If A is twice as good a workman as C, find in what t

By Julia

A and B can do a piece of work in 12 days. B and C together do it in 15 days. If A is twice as good a workman as C, find in what time B will alone do it?

About the author
Julia

2) Mani age is 7 years more than twice his daughter’s 2year hence Mani’s age will be X
years. find their present age.​

mitch went on a hiking trip. on the first day he hiked the 6 mile long trail wind flower trail. on the second day mitch hiked the

1 thought on “A and B can do a piece of work in 12 days. B and C together do it in 15 days. If A is twice as good a workman as C, find in what t”

  1. Given:-

    •A and B can do a piece of work in 12 days.

    •B and C together do it in 15days.

    •A is twice as good a workman as C.

    To Find:-

    •What time B will alone do it.

    Solution:-

    Let consider work done by C be x and work done by A be 2x.

    According to the question,

    [tex] \: \: \sf \: \frac{1}{x} – \frac{1}{2x} = \frac{1}{60} \\ \\ \: \: \sf \: \frac{2 – 1}{2x} = \frac{1}{60} \\ \\ \: \: \sf \: \frac{1}{2x} = \frac{1}{60} \\ \\ \: \: \sf \: x = 30…(i)[/tex]

    Hence, the value of x is 30.

    B’s 1 days work

    [tex] \: \: \sf \: = \frac{1}{12} – \frac{1}{30} (from \: equation \: (i)) \\ \\ \: \: \sf \: = \frac{5 – 2}{60} = \frac{3}{60} = \frac{1}{20} [/tex]

    Hence,B alone will complete the work in 20 days.

    Reply

Leave a Comment