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  1. A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. Then the speed of boat in still water and the speed of water current are respectively
    1. 4 kmph and 3 kmph
    2. 4.5 kmph and 0.5 kmph
    3. 4 kmph and 2 kmph
    4. 5 kmph and 2 kmph
Correct Option: B

On the basis of above given question ,

Rate upstream =
24
= 4 kmph
6

Rate downstream =
20
= 5 kmph
4

∴ Speed of boat in still water =
Rate upstream + Rate downstream
2

∴ Speed of boat in still water =
1
(4 + 5) = 4.5 kmph
2

∴ Speed of current =
Rate downstream - Rate upstream
2

Speed of current =
1
(5 - 4) = 0.5 kmph
2

We can find the required answer with the help of given formula :
Here, p =
20
= 5 kmph
4

q =
24
= 4 kmph
6

Speed of Boat =
p + q
=
5 + 4
= 4.5kmph
22

Speed of Stream =
p - q
=
5 - 4
= 0.5kmph
22



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