A boat takes 80 minutes to row 12 km upstream and 60 minutes to row 15 km downstream. How long will it take to row a distance of 36 km in still water?
Let's assume the speed of the boat in still water and the speed of the stream are B and C respectively.
Speed of boat downstream = (B+C)
Speed of boat upstream = (B-C)
A boat takes 80 minutes to row 12 km upstream and 60 minutes to row 15 km downstream.
$$\frac{12}{B-C}\ =\ \frac{80}{60}$$
$$\frac{12}{B-C}\ =\ \frac{4}{3}$$
$$\frac{3}{B-C}\ =\ \frac{1}{3}$$
(B-C) = 9 Eq.(i)
$$\frac{15}{B+C}\ =\ \frac{60}{60}$$
(B+C) = 15 Eq.(ii)
Add Eq.(i) and Eq.(ii).
(B-C)+(B+C) = 9+15
2B = 24
B = 12 km/h
Time taken by the boat to row a distance of 36 km in still water = $$\frac{36}{12}$$
= 3 hours
Create a FREE account and get: