The ratio of the speed of the boat in still water to the speed of the

1.	The ratio of the speed of the boat in still water to the speed of the stream is 16 : 5. A boat goes 16.5 km in 45 minutes upstream, find the time taken by boat to cover the distance of 17.5 km downstream.1. 30 minutes2. 20 minutes3. 25 minutes4. 15 minutes5. 35 minutes
Answer» Correct Answer - Option 3 : 25 minutes Given: The ratio of the speed of the boat in still water to the speed of the stream = 16 : 5 Distance upstream = 16.5 km Time upstream = 45 minutes Distance = 17.5 km Calculations: Let the speed of the boat in still water be 16x. Speed of Stream be 5x. Upstream speed = 16x – 5x = 11x Speed = Distance/Time ⇒ 11x = 16.5/45 × 60 ⇒ 11x = 22 ⇒ x = 2 Speed of the boat in still water = 32 km/h Speed of stream = 10 km/h Downstream speed = 32 + 10 = 42 km/h Distance = 17.5 Time = 17.5/42 × 60 ⇒ 5/12 × 60 ⇒ 25 minutes The time taken by the boat to cover the distance of 17.5 km downstream is 25 minutes.

The ratio of the speed of the boat in still water to the speed of the stream is 16 : 5. A boat goes 16.5 km in 45 minutes upstream, find the time taken by boat to cover the distance of 17.5 km downstream.1. 30 minutes2. 20 minutes3. 25 minutes4. 15 minutes5. 35 minutes

Answer» Correct Answer - Option 3 : 25 minutes

Given:

The ratio of the speed of the boat in still water to the speed of the stream = 16 : 5

Distance upstream = 16.5 km

Time upstream = 45 minutes

Distance = 17.5 km

Calculations:

Let the speed of the boat in still water be 16x.

Speed of Stream be 5x.

Upstream speed = 16x – 5x = 11x

Speed = Distance/Time

⇒ 11x = 16.5/45 × 60

⇒ 11x = 22

⇒ x = 2

Speed of the boat in still water = 32 km/h

Speed of stream = 10 km/h

Downstream speed = 32 + 10 = 42 km/h

Distance = 17.5

Time = 17.5/42 × 60

⇒ 5/12 × 60

⇒ 25 minutes

The time taken by the boat to cover the distance of 17.5 km downstream is 25 minutes.

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