# A boat covers 24 km upstream and 36 km downstream in 6 hrs, while it c

| A boat covers 24 km upstream and 36 km downstream in 6 hrs, while it covers 18 km upstream and 12 km downstream in 3 hrs. Find the speed (in km/hr) of the current.

A. 3 km/hr

B. 1 km/hr

C. 1.5 km/hr

D. 2 km/hr

### Right Answer is: D

#### SOLUTION

24 U + 36 D = 6 hrs ……(1)

18 U + 12 D = 3 hrs ……(2)

Multiplying equation (1) with 3 and subtracting it from four times of equation (2).

60 D = 5 hrs

Hence the boat will cover 12 km/hr in downstream

Now put this value in equation (1)

24 U + 3 hrs = 6 hrs

24 U = 3hrs.

Hence the boat will cover 8 km/hr in upstream

So speed of stream =

= = 2 km/hr

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A boat covers 24 km upstream and 36 km downstream in 6 hrs, while it c