A motorboat goes downstream in a river covers the distance between two coastal towns in 5 hours. Itt covers same distance upstream in 6 hours.The speed of water is 2 kilometre per hour. Find the speed of motor boat in still water.
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Let the speed of the boat in still water = xkm/hrxkm/hr
Speed of the boat downstream =(x+3)km/hr=(x+3)km/hr
Time taken to cover the distance = 5 hrs
Distance covered in 5 hrs =(x+3)×5=(x+3)×5
Speed of the boat up stream =(x−3)km/hr=(x−3)km/hr
Time taken to cover the distance = 6 hrs
Distance covered in 5 hrs =6(x−3)=6(x−3)
Distance between two coastal towns is fixed .
According to the question
=> 5(x+3)=6(x−3)5(x+3)=6(x−3)
=> 5x+15=6x−185x+15=6x−18
=> −x=−33−x=−33
x=33x=33
Required speed of the boat is 33km/hr33km/hr
Answer : 33km/hr
Hope this helps.......♥♥♥♥
Speed of the boat downstream =(x+3)km/hr=(x+3)km/hr
Time taken to cover the distance = 5 hrs
Distance covered in 5 hrs =(x+3)×5=(x+3)×5
Speed of the boat up stream =(x−3)km/hr=(x−3)km/hr
Time taken to cover the distance = 6 hrs
Distance covered in 5 hrs =6(x−3)=6(x−3)
Distance between two coastal towns is fixed .
According to the question
=> 5(x+3)=6(x−3)5(x+3)=6(x−3)
=> 5x+15=6x−185x+15=6x−18
=> −x=−33−x=−33
x=33x=33
Required speed of the boat is 33km/hr33km/hr
Answer : 33km/hr
Hope this helps.......♥♥♥♥
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