1.

X Y and Z together can do a piece of work in 4 days. If X and Y can do the work in5 days. Y and Z in 10 days, find the number of days in which X and Z. while workingtogether, will be able to finish the work.​

Answer»

Answer:

x and Z can finish the work in 5 days

Step-by-step EXPLANATION:

=)(x+y+z)'s 1 day work=1/4

=)z's 1 day work=(x+y+z)'s 1 day work - (x+y)'s 1 day work

                         =(1/4)-(1/5)

                         =(5-4)/20                                        [By TAKING L.C.M]

                         =1/20

=)x's 1 day work=(x+y+z)'s 1 day work-(y+z)'s 1 day work

                          =(1/4)-(1/10)

                          =(5-2)/20                                        [By taking L.C.M]

                          =3/20

=)(x+z)'s 1 day work=(3/20)+(1/20)

                               =4/20

                               =1/5   [By dividing both DENOMINATOR and numerator by 4]                                                                                                

=)So,(x+z) can finish the work together in 5 days.



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