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A man rides one-third of the distance fr...

A man rides one-third of the distance from A to B at the rate of x km/hr and the remainder at the rate of 2y km/hr. If he had travelled at a uniform rate of 6z km/hr, he could have ridden from A to B and back again in the same time. Which one of the following is correct?

A

`z= x+y`

B

`3z = x+y`

C

`(1)/(z) =(1)/(x) +(1)/(y)`

D

`(1)/(2z) =(1)/(x) +(1)/(y)`

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