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 found a hole in it from which 10 `` tonnes of water comes in every 26 minutes. But there is a outlet tap which throws out 13 tones of water in every hour. So, find the speed of the boat so that while it is about to sink, another rescue ship which is coming towards it with speed of 14km/hr can save it and 94 tones of water is sufficient to sink that boat ?

In every 26 min, water comes in boat = 31/3 tonnes

So in 1 min, water comes in boat = 31/(3*26) tonnes

So in 1 hr, water comes in boat = 31*60/(3*26) = 310/13 tonnes

and water thrown in 1 hr = 13 tonnes

So final water comes in 1 hr = (310/13) - 13 = (310-169)/13 = 141/13 tonnes

So it will sink overall in = 94/(141/13) = 26/3 hours

So now (x+14) * 26/3 = 156 (as both are in opposite direction, let speed of ship be x kmph)

x+14 = 18

x = 4 kmph

Speed of ship = 4kmph

- Two boats X and Y start towards each other from two places, 119 km apart. Speed of the boat X and Y in still water are 7 km/hr and 10 km/hr respectively. If X proceeds down and Y up the stream, they will meet after.
- Speed of boat in still water is 60% more than speed of current and total time takes by boat to cover certain distance going downstream and upstream is 32 hours. Find the time taken by boat to cover same distance in still water.
- A man can row 25/2 km an hour in still water and he finds that it takes him thrice as long to row up as to row down the river. The rate of stream is:
- A motor boat covers a certain distance downstream in a river in 4 hours. It covers the same distance upstream in 4 hours and 30 minutes. If the speed of water is 2 km/h, then the speed of the boat in still water is:
- Speed of a boat in still water to speed of boat in upstream is 12: 7. If the boat can travel 425 km in downstream in 5 hours, then find the time taken by the boat to cover 30 km in still water.
- The speed of current is 8 km/h. What will be the respective downstream speed and upstream speed of a boy rowing a boat, if one fifth of the distance covered going downstream in a certain time is equal to the distance covered going upstream in the same time?
- 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 river which flows at a speed of 5km/hour. Find the average speed of motor boat for total journey?
- When travelling downstream, a boat takes 5.25 hours to travel 252 km. If the speed of the stream is (3/8)
^{th}of downstream speed of the boat, then find the time taken by the boat to cover 300 km in still water. - The downstream speed of a boat is 6 km/hr more than its upstream speed and the ratio of the speed of the boat in still water to the speed of the stream is 11:3. Find the total time taken by boat to travel 42 km downstream and 32 km upstream?
- A boat takes 7 hours to cover 245 km upstream and 9 hours to cover 477 km downstream. Find the time taken by the boat to cover 410 km upstream and 495 km downstream if speed of boat in still water is increased by 4 km/h and speed of stream is decreased by 2 km/h.

More Boats and streams Questions

×