Q. 354.6( 7 Votes )

A sailor goes 8 km downstream in 40 minutes and returns in 1 hour. Find the speed of the sailor in still water and the speed of the current.

Answer :

Let the speed of the sailor in still water be v kmph and the speed of the current be u kmph.


According to question -


Speed of the sailor in upstream direction = v - u


Speed of the sailor in downstream direction = v + u


8/(v + u) = 2/3


v + u = 12.....(1)


and,


8/(v - u) = 1


v - u = 8.....(2)


Adding equations (1) and (2), we get -


v = 10


Substituting the value of v in (2), we get -


u = 2


Thus, speed of sailor in still water = 10 kmph and speed of current = 2 kmph.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Dealing With the Real Life ProblemsDealing With the Real Life ProblemsDealing With the Real Life Problems53 mins
Quiz | Solution of Linear EquationsQuiz | Solution of Linear EquationsQuiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of SolutionsChamp Quiz | Consistency and Inconsistency of SolutionsChamp Quiz | Consistency and Inconsistency of Solutions36 mins
Pair of Linear Equations in Two VariablesPair of Linear Equations in Two VariablesPair of Linear Equations in Two Variables46 mins
Quiz | Real Life Problems Through Linear EquationsQuiz | Real Life Problems Through Linear EquationsQuiz | Real Life Problems Through Linear Equations56 mins
Smart Revision | Important Word ProblemsSmart Revision | Important Word ProblemsSmart Revision | Important Word Problems37 mins
Dealing with the Real Life ProblemsDealing with the Real Life ProblemsDealing with the Real Life Problems54 mins
Elimination (quicker than quickest)Elimination (quicker than quickest)Elimination (quicker than quickest)44 mins
Bonus on Applications of Linear Equations in Two VariablesBonus on Applications of Linear Equations in Two VariablesBonus on Applications of Linear Equations in Two Variables43 mins
Consistent and Inconsistent EquationsConsistent and Inconsistent EquationsConsistent and Inconsistent Equations33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses