
A boat is moving in a river, downstream whose stream has speed 8Km per hour. The speed of a motor boat is 22Km per hour. Draw a graph of distance covered by the boat versus hour.
Answer
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Hint:Boat is moving downstream in the river so it will add the speed of the stream as well. First find the distance covered by each hour by the boat then draw it on the Cartesian plane.
Complete step-by-step answer:
We are given,
Speed of boat= 22 km/hr
Speed of stream= 8 km/hr
Total speed = Speed of boat + Speed of stream = (22+8) km/hr
Total speed = 30 km/hr
So, in 1 hour boat will be covering = 30 km
In 2 hour boat will be covering = (30+ 30) km = 60 km
In 3 hour boat will be covering = (60 + 30) km =90 km
And,
………………………………………………………………………………..
Assuming X-axis as a time (in hours) and Y-axis as a distance (in km) then graph of given problem is followed-
Note: When the boat is going upstream it means it is going in the opposite direction of the stream. In that case we will subtract the speed of stream from the speed of boat to get total speed. If the speed of the stream is greater than the speed of the boat in an upstream situation then the boat will not go forward. It will only go backward.
Complete step-by-step answer:
We are given,
Speed of boat= 22 km/hr
Speed of stream= 8 km/hr
Total speed = Speed of boat + Speed of stream = (22+8) km/hr
Total speed = 30 km/hr
So, in 1 hour boat will be covering = 30 km
In 2 hour boat will be covering = (30+ 30) km = 60 km
In 3 hour boat will be covering = (60 + 30) km =90 km
And,
………………………………………………………………………………..
Assuming X-axis as a time (in hours) and Y-axis as a distance (in km) then graph of given problem is followed-
| Time | Distance |
| 1 hour2 hour3 hour4 hour……….………… | 30 km60 km90 km120 km……….. |
Note: When the boat is going upstream it means it is going in the opposite direction of the stream. In that case we will subtract the speed of stream from the speed of boat to get total speed. If the speed of the stream is greater than the speed of the boat in an upstream situation then the boat will not go forward. It will only go backward.
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