R. S. Aggarwal Solutions for Chapter: Chain Rule (Compound Proportion), Exercise 1: EXERCISE 14A

A certain number of workmen can do a piece of work in $25$ days. In how many days will another set of an equal number of men will do a piece of work twice as great, supposing that $2$ men of the first set can do as much work in $1$ hour as $3$ men of the second set do in $1$ hour ?

If $135 \mathrm{kg}$ of corn would feed $36$ horses for $28$ days, for how many days would $180 \mathrm{kg}$ of it feed$21$ horses ?

$5$ engines consume $6$ metric tonnes of coal when each is running $9$ hours a day. How much coal will be needed for $8$engines, each running $10$ hours a day, it being given that $3$ engines of the former type consume as much as  $4$ engines of latter type ?

$15$ men take $21$ days of $8$ hours each to do a piece of work. How many days of $6$ hours each would $21$ women take, if $3$ women do as much work as $2$ men?

$10$ women can complete a piece of work in $8$ days and $10$ children take $12$ days to complete it. How many days will $6$ women and $3$ children together take to complete the work ?

$8$ men can complete a piece of work in $12$ days; $4$ women can complete it in $48$ days and $10$ children can complete the same piece of work in $24$ days. In how many days can $10$ men, $4$ women and $10$ children complete the same piece of work ?

If $40$ men take $8$ days to earn $\mathrm{Rs}$$20000,$ how many men will earn $\mathrm{Rs}$$2000$ in $2$ days ?

If $20$ men can build a wall $112 \mathrm{m}$ long in $6$ days, what length of a similar wall can be built by $25$ men in$3$ days?