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A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
A)4 km/hr
B)6 km/hr
C)8 km/hr
D)Data inadequate
Read Solution (Total 5)
-
- Let speed of boat in still is =x km/Hr,speed of current=y Km/hr
for down stream=x+y,Up stream=x-y
16/x+y=2----(1)
16/x-y=4----(2)
after solving this eqn x=6km/hr,y=2km/hr - 13 years agoHelpfull: Yes(8) No(2)
- Rate of downnstream=16/2=8km/hr
Rate of upstream=16/4=4km/hr
speed in still water=(8+4)/2=6km/hr
- 13 years agoHelpfull: Yes(7) No(1)
- downstream speed = 16/2 = 8
upstream = 16/4 = 4 - 13 years agoHelpfull: Yes(4) No(1)
- ans b. 6km/hr.
let speed of boat be x and that of stream be y. speed in downstream=x+y, speed in upstream=x-y. according to question. 2(x+y)=16 and 4(x-y)=16. solving this we get x=6,y=2. hence speed of boat in still water=6km/hr. - 13 years agoHelpfull: Yes(4) No(0)
- Option B
Explanation:
Rate downstream =16/2 kmph = 8 kmph.
Rate upstream = 16/4 kmph = 4 kmph.
Speed in still water = (1/2)(8 + 4) kmph = 6 kmph.
- 11 years agoHelpfull: Yes(2) No(1)
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