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  1. A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km
    upstream and 24 km down stream in 6
    1
    hours. The speed of the current is
    2


    1. 1 km/hr
    2. 2 km/hr
    3. 1.5 km/hr
    4. 2.5 km/hr
Correct Option: B

Let speed of boat in still water = p kmph
and speed of current = q kmph

24
+
36
= 6........(i)
p - qp + q

and
24
+
36
=
13
........(ii)
p + qp - q2

By equation (i) × 2 – equation (ii) × 3, we have
48
-
108
= 12 -
39
p - qp + q2

60
=
15
p - q2

⇒ p – q = 8 ...... (iii)
By equation (i) × 3 – equation (ii) × 2, we have
108
-
48
= 18 - 13
p + qp + q

60
= 5
p + q

⇒ p + q = 12 ..... (iv)
From equation (iv) – (iii),
we have , ( p + q ) – ( p - q ) = 12 – 8
⇒ p + q – p + q = 12 – 8
⇒ 2q = 4 ⇒ q = 2 kmph



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