Question
The time taken by a boat to
travel a certain distance downstream is in the ratio 4:5 compared to the time taken to travel the same distance upstream. Additionally, the speed of the stream is reduced by 50% during the upstream journey. If the speed of the boat in still water is 13 m/s, determine the distance the boat covers downstream in 24 seconds.Solution
ATQ, Let the speed of the stream while going downstream = ‘2a’ m/s So, the speed of the stream while the boat is going upstream = 50% of ‘2a’ = ‘y’ m/s Since the ratio of time taken by the boat to go a certain downstream distance to that taken to come back is 4: 5. So, the ratio of downstream speed to the upstream speed of the boat = 5: 4 (13 + 2a)/(13 – a) = 5/4 52 + 8a = 65 – 5a a = 1 Speed of stream while boat is going downstream = 2 × 1 = 2 m/s Downstream speed of the boat = 13 + 2 = 15 m/s So, downstream distance covered by the boat in 24 seconds = 15 × 24 = 360 m
A man can row boat at 9 kmph in still water. If the velocity of the current is 6 kmph and he takes 2 hour to row to a place and come back, how far is th...
The speed of a boat in still water is 35 km/hr. If the boat covers 150 km in upstream in 5 hours, then find the time taken by the boat to travel 200 km ...
A boat can cover 170 km in downstream in 2 hours and 145 km in upstream in 5 hours. Find the speed of boat in still water.
The speed of the stream is 20 km/h. Boat ‘A’ covers 120 km distance against the stream in 6 hours and boat ‘B’ covers 120 km distance against th...
A boat takes 28 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream...
A motorboat covers 600 km downstream in 25 hours. If it can cover 240 km in still water in 12 hours, then find the time taken by the boat to cover 840 ...
A boat takes 7 hours to cover 259 km upstream and 9 hours to cover 477 km downstream. Find the time taken by the boat to cover 602 km upstream and 605 k...
The current age of 'N' is 25% more than the current age of 'M'. The present age of 'P' is the average of the present ages of 'M' and 'N'. Three years fr...
A motorboat completes 36 km upstream and 96 km downstream together in 7 hours. If its speed in still water is 12 km/h more than the stream, determine th...
Speed of a boat in still water to speed of boat in upstream is 11: 9. If the boat can travel 260 km in downstream in 10 hours, then find the time taken ...
