A boat travels upstream from b to a and downstream from a to b in 3 hours. if the speed of the boat in still water is 9 km/h and the speed of the current is 3 km/h, the distance between a and b is
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time = 3hrs in both cases.
speed of boat in still water(s1) = 9
speed of current(s2)= 3
case 1: from b to a
total speed = s1-s2 (as movement is against the current)
time = 3
dist = (s1-s2)*3
case 2: from a to b
total speed = s1+2 (as movement is along the current)
time = 3
dist = (s1+s2)*3
according to problem,
(s1-s2)*3 = (s1+s2)*3
s1-s2 = s1+s2
solving the equation,
s2 = 0 which is obvious because the time taken to travel upstream and downstream cannot be same.
speed of boat in still water(s1) = 9
speed of current(s2)= 3
case 1: from b to a
total speed = s1-s2 (as movement is against the current)
time = 3
dist = (s1-s2)*3
case 2: from a to b
total speed = s1+2 (as movement is along the current)
time = 3
dist = (s1+s2)*3
according to problem,
(s1-s2)*3 = (s1+s2)*3
s1-s2 = s1+s2
solving the equation,
s2 = 0 which is obvious because the time taken to travel upstream and downstream cannot be same.
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