Question
The ratio of the speed of boats ‘A’ and ‘B’ in
still water is 8:9, respectively. The speed of the current is 25% of the speed of boat ‘A’ in still water. If boat ‘A’ takes 12 hours to travel 600 km downstream, then find the time taken by boat ‘B’ to travel 140 km upstream and 550 km downstream. (Note: Both the boats are rowing in the same stream.)Solution
Let the speeds of boats ‘A’ and ‘B’ in still water be 8x km/hr and 9x km/hr Therefore, speed of the current = 0.25 × 8x = 2x km/hr According to the question, 8x + 2x = 600/12 Or, 10x = 50 Or, x = 5 Therefore, upstream speed of boat ‘B’ = 9x – 2x = 7x = 35 km/hr Downstream speed of boat ‘B’ = 9x + 2x = 11x = 55 km/hr Required time taken = (140/35) + (550/55) = 4 + 10 = 14 hours
- The boat's downstream and upstream speeds are 24 km/hr and 16 km/hr respectively. If the time taken to cover a distance of (x + y) km upstream with stream ...
A boat takes 20 hours to go 200 km upstream. If the boat doubles its speed, it can cover 200 km downstream in 4 hours. Find the speed of the stream.
The ratio of the speed of boat in upstream to speed of boat in downstream is 7:9. If the boat can cover a total of 70 km upstream and 90 km downstream i...
The ratio of the distances traveled by a boat in upstream and downstream is 6:7, respectively, and the total time taken to cover the desired distance is...
The time taken by a boat to travel 'd' kilometers downstream is 8 hours, while the time taken to travel (d - 60) kilometers upstr...
A man can row at 6 kmph in still water. If the velocity of current is 4 kmph and it takes him 6 hour to row to a place and come back, how far is the place?
A Passenger boat started its journey from point A to B .After sometime when it is 156 km away from point B it is started to get sinking and passengers...
A man can row at 4 kmph in still water. If the velocity of current is 2 kmph and it takes him 5 hour to row to a place and come back, how far is the place?
If Boat goes 80 km upstream in 4 hours and 60 km downstream in 2 hours, then the speed of the boat in still water is
A man can go on a motor boat with a speed of 15 km/hour in still water, he goes to a certain distance upstream and come back to the starting point in a ...
