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  1. Speed of a boat is 5 km per hour in still water and the speed of the stream is 3 km per hour. If the boat takes 3 hours to go to a place and come back, the distance of the place is :
    1. 3.75 km
    2. 4 km
    3. 4.8 km
    4. 4.25 km
Correct Option: C

Here , Speed of a boat in still water = 5 km per hour and the speed of the stream = 3 km per hour.
Let the required distance be d km, then

d
+
d
= 3
5 + 35 - 3

d
+
d
= 3
82

d + 4d
= 3
8

⇒ 5 d = 24
⇒ d =
24
= 4.8 km
5

Using the given formula :
Here, p = 5, q = 3, t = 3
d =
t(p² - q²)
2p

d =
3(5² - 3²)
=
3 × 16
= 4.8 km
2 × 510



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