Mahesh can row about 72km upstream in 10 hours. The sum the speed of the stream is 9.2km/h. Frame linear equation with two variables from this situation.
Answers
The Correct question is:
Mahesh can row about 72km upstream in 10 hours. The sum of the speed with which Mahesh rows in still water and the speed of the stream is 9.2km/h. Frame linear equation with two variables from this situation.
The Main Answer is: x + y = 9.2
x - y = 7.2
Given: Time taken to row 72km upstream = 10 hours
Speed of rowing in still water + speed of stream = 9.2 km/h
To Find: Linear equations in 2 variables describing this situation
Solution:
Let speed by which Mahesh rows on still water = x km/h
Let the speed of the stream = y km/h
According to the question-
x + y = 9.2 km/h ----(1)
Distance traveled upstream = 72 km
Time taken to travel upstream = 10 hours
Average speed in traveling upstream = 72/10 = 7.2 km/h
Now, going upstream in a river means that one is rowing against the flow of the river.
Naturally, this means that the river flow is against you and it will definitely make you slower than your normal speed.
In such cases, the actual speed with which one travels is given by the expression-
Normal speed of rowing (in still water) - speed of stream = speed of traveling upstream
According to the question-
x - y = 7.2 km/h -------(2)
Thus, equation (1) and (2) give us the required equations,which are:
x + y = 9.2 km/h
x - y = 7.2 km/h
For a similar question on upstream-downstream, refer to:
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