Equal masses of three liquids A, B and C have temperature `10^(@)C, 25^(@)C` and `40^(@)c` respectively. If A and B are mixed, the mixture has a temperature of `15^(@)C`. If B and C are mixed, the mixture has a temperature of `30^(@)C`, if A and C are mixed will have a temperature of

Options

A. `16^(@)C`
B. `20^(@)C`
C. `25^(@)C`
D. `29^(@)C`

Answer

B

Explanation

`ms_(A) (15-10)=ms_(B)(25-15)`
`s_(A)=2s_(B)`
`ms_(B)(30-25)=ms_(C)(40-30)`
`s_(B)=2s_(C)" " rArr s_(A)=4s_(C)`
`ms_(A)(T-10)=ms_(C)(40-T)`
`rArr 4(T-10)=40-T`
`T=16^(@)C`