A boat covers a certain distance downstream in 4 hours, but takes 6 hours to return to the starting point. What is the ratio of speed of stream to the speed of the boat in still water?
1 : 5
To get this ratio, divide both sides of the equation by 10v_b: \[(10v_s)/(10v_b) = (2v_b)/(10v_b)\] Simplify both sides: \[(v_s)/(v_b) = (2)/(10)\] \[(v_s)/(v_b) = (1)/(5)\] So, the ratio of the speed of the stream to the speed of the boat in still water (v_s : v_b) is 1 : 5.
Important Questions from Boat and River
A boat sails 15 km of a river towards upstream in 5 hours. How long (in hours) will it take to cover the same distance downstream, if the speed of river is one-fourth the speed of the boat in still water?
The speed of boat upstream is 5 kmph. Its speed in still water is 10 kmph. How many minutes will it take to row 25 km downstream?
Sudha can travel a certain distance downstream in 6 hours by boat and return to the starting point in 9 hours. If the stream flows at a speed of 3 km/h, how long (in hours) will it take to cover a distance of 67.5 km in still water?
The downstream speed of a boat is 20 km/hr and the speed of stream is 4 km/hr. What will be the total time taken by the boat to cover 160 km downstream and 96 km upstream?
A man covered a distance of 18 km in 3 hours, 7.2 km in 2 hours and 15 km in 5 hours. What is the average distance traveled by him per hour?
