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IELTS Problem and Solution essay: Violence on TV Infosys Speed Time and Distance � Boats and Streams Questions with Answers. 1. A train covered a distance at a uniform myboat354 boatplans the train had been 6 km/hr faster it would have been 4 hour less than schedule time and if the train were slower by 6 km/hr it would have been 6 hrs myboat354 boatplans the distance. 2. Important tips for solving Algebra Rate problems. Algebra Rate problems are used to find the distance traveled or time required for traveling certain distance. Important note: For downstream > Rate of (boat /steamer) in still water + rate of stream For upstream > Rate of (boat /steamer) in still water - rate of stream.
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What will be the width of the river in meters? When a train travels at a speed of 60kmph,it reaches the destination on time. A girl goes to her office for work which is 50 miles. She goes to her office few distance by bicycle and remaining by train. The speed of bicycle is 15 mph and that of train is twice of the bicycle. If she spend 20 min. If Rahul rows 15 km upstream in 3 hours and 21 km downstream in 3 hours, then the speed of the stream is A.

This angle can be determined using a trigonometric function as shown below. Motorboat problems such as these are typically accompanied by three separate questions:. The first of these three questions was answered above; the resultant velocity of the boat can be determined using the Pythagorean theorem magnitude and a trigonometric function direction. The second and third of these questions can be answered using the average speed equation and a lot of logic.

The solution to the first question has already been shown in the above discussion. We will start in on the second question. The river is meters wide. That is, the distance from shore to shore as measured straight across the river is 80 meters. The time to cross this meter wide river can be determined by rearranging and substituting into the average speed equation. The distance of 80 m can be substituted into the numerator. But what about the denominator?

What value should be used for average speed? With what average speed is the boat traversing the 80 meter wide river? Most students want to use the resultant velocity in the equation since that is the actual velocity of the boat with respect to the shore. And the diagonal distance across the river is not known in this case. If one knew the distance C in the diagram below, then the average speed C could be used to calculate the time to reach the opposite shore.

Similarly, if one knew the distance B in the diagram below, then the average speed B could be used to calculate the time to reach the opposite shore. And finally, if one knew the distance A in the diagram below, then the average speed A could be used to calculate the time to reach the opposite shore.

It requires 20 s for the boat to travel across the river. During this 20 s of crossing the river, the boat also drifts downstream. Part c of the problem asks "What distance downstream does the boat reach the opposite shore? And once more, the question Boat And Stream Problems In Malayalam Meaning arises, which one of the three average speed values must be used in the equation to calculate the distance downstream? The distance downstream corresponds to Distance B on the above diagram. The speed at which the boat covers this distance corresponds to Average Speed B on the diagram above i.

The mathematics of the above problem is no more difficult than dividing or multiplying two numerical quantities by each other. The mathematics is easy! The difficulty of the problem is conceptual in nature; the difficulty lies in deciding which numbers to use in the equations.

That decision emerges from one's conceptual understanding or unfortunately, one's misunderstanding of the complex motion that is occurring. The motion of the riverboat can be divided into two simultaneous parts - a motion in the direction straight across the river and a motion in the downstream direction. These two parts or components of the motion occur simultaneously for the same time duration which was 20 seconds in the above problem.

The decision as to which velocity value or distance value to use in the equation must be consistent with the diagram above. The boat's motor is what carries the boat across the river the Distance A ; and so any calculation involving the Distance A must involve the speed value labeled as Speed A the boat speed relative to the water.

Similarly, it is the current of the river that carries the boat downstream for the Distance B ; and so any calculation involving the Distance B must involve the speed value labeled as Speed B the river speed. Together, these two parts or components add up to give the resulting motion of the boat. Q 3 - A man swims downstream 28 km in 4 hrs and upstream 12 km in 3 hrs.

Find his speed in still water and also the speed of the current. It takes twice as long as to go upstream to a point as to return downstream to the starting point. What is the speed of the current? Q 5 - A boat covers a certain distance downstream in 6 hours and takes 8 hours to return upstream to the starting point. A motor boat travels 28 km upstream and then returns downstream to the starting point.

Q 7 - A boat travels 32 km upstream and 60 km downstream in 9 hr.

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