Speed of boat in still water is $5 km/h$ . The river is flowing with a speed of $2 km/h$ and time taken to cover a certain distance upstream is $2$ h more than time taken to cover the same distance downstream. Find the distance.

10.5 km

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11 km

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10.9 km

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15 km

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Solution

The correct option is A $10.5 km$
Let distance be x km
Speed downstream = 5+2 = 7 km /hr.
Speed upstream = 5-2 = 3 km/hr.
So $\frac{x}{3} - \frac{x}{7} = 2$
$7 x - 3 x = 2 \times 21$
4x = 42
$x = \frac{42}{4} = 10.5$ km/h

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Speed of boat in still water is 5 km/h. The river is flowing with a speed of 2 km/h and time taken to cover a certain distance upstream is 2 h more than time taken to cover the same distance downstream. Find the distance.

The correct option is A 10.5 kmLet distance be x kmSpeed downstream = 5+2 = 7 km /hr.Speed upstream = 5-2 = 3 km/hr.So x3−x7=27x−3x=2×214x = 42x=424=10.5 km/h

Speed of boat in still water is $5 km/h$ . The river is flowing with a speed of $2 km/h$ and time taken to cover a certain distance upstream is $2$ h more than time taken to cover the same distance downstream. Find the distance.

The correct option is A $10.5 km$
Let distance be x km
Speed downstream = 5+2 = 7 km /hr.
Speed upstream = 5-2 = 3 km/hr.
So $\frac{x}{3} - \frac{x}{7} = 2$
$7 x - 3 x = 2 \times 21$
4x = 42
$x = \frac{42}{4} = 10.5$ km/h