ABoat takes 128 min less to travel to 48 Km downstream than to travel ...
Answer – 3. 12 Km/hr Explanation : 32/15 = 48(1/s-3 – 1/s+3) s= 12
ABoat takes 128 min less to travel to 48 Km downstream than to travel ...
Given data:
Distance = 48 Km
Speed of stream = 3 Km/hr
Let the speed of the boat in still water be x km/hr
When the boat travels downstream:
Speed of the boat = (x + 3) km/hr
Time taken = distance/speed = 48/(x + 3) hr
When the boat travels upstream:
Speed of the boat = (x - 3) km/hr
Time taken = distance/speed = 48/(x - 3) hr
According to the question,
Time taken downstream - Time taken upstream = 128 min
i.e., 48/(x + 3) - 48/(x - 3) = 128/60
Simplifying this equation, we get:
12x = 169
x = 169/12 = 14.083 km/hr
Therefore, the speed of the boat in still water is 14.083 km/hr, which is closest to option C (12 km/hr).