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Question

A can complete a journey in  10 hours. He travels first half of the  journey at the rate of 21 km/hr and second half at the rate  of 24 km/hr . Find the total journey  in km.


Options:
A .  220 km
B .  224 km
C .  230 km
D .  234 km.
Answer: Option B

Let the total distance be `x` km. Then

`(1/2 x)/(21) + (1/2 x)/(24)`  = 10 

`rArr    x/21 + x/24 `= 20

`rArr   15x = 168 xx 20     rArr    x =  ((168 xx 20)/(15))` =  224 km.



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