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  1. A boat running downstream covers a distance of 30 km in 2 hours. While coming back the boat takes 6 hours to cover the same distance. If the speed of the current is half of that of the boat, then what is the speed of the boat in kmph?
    1. 15 kmph
    2. 5 kmph
    3. 10 kmph
    4. cannot be determined
Correct Option: C

As per the given in above question ,
Downstream speed = 30/2 = 15 kmph
Upstream speed = 30/6 = 5 kmph
Let speed of the boat be p,
then speed of the current = p /2.

p +
p
= 15 ........(i)
2

p -
p
= 5 ........(ii)
2

From either of the two equations, we can find the value of p, p = 10 kmph
Another set of formula which can serve as shortcut in above case is
Speed of the boat =
Downstream Speed + Upstream Speed
2

Speed of the stream =
Downstream Speed - Upstream Speed
2

Putting these in the above example,
Speed of the boat =
15 + 5
= 10 kmph
2

& Speed of the stream =
15 - 5
= 5 kmph
2



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