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· 1 Months ago

Can you please elaborate this More

Question:

A boat takes total 9 hour when going 68 km downstream and 45 km upstream. That boat takes 2 hours more when going 51 km downstream and 72 km upstream. What is the speed of boat in still water?

Options:
A) 4
B) 13
C) 12
D) 6
Solution:
Ans: (b) Let the speed of boat be x km/hr. and speed of stream be y km/hr.

A.T.Q.,

\(\cfrac{68}{x+y}+\cfrac{45}{x-y}=9\).....(i)

\(\cfrac{51}{x+y}+\cfrac{72}{x-y}=11\)...(ii)

On solving equ. (i) & (ii), we get :

x = 13 km/hr. & y = 4 km/hr.

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