# Boat and stream questions | boats and streams tricks

In this article **boat and stream** questions we give the information about **Boat and stream** questions Class 10, boats and streams problems with solution and **boats and streams** tricks.

Boat and Stream Questions:

### boats and streams tricks:

- If the boat is moving in the direction of the current, the two speeds should be added.
- Subtract both speeds as the boat is moving in the opposite direction.

#### boat and stream math:

**Important Formulas :**

Suppose,

The speed of the boat towards the stream = a

The boat speeds in the opposite direction to the current = b

1 ) The speed of the boat in slow water = ( a + b ) / 2.

2 ) Flow Speed = ( a – b ) / 2.

**boats and streams problems :**

1) 30 km / hr in the direction of a boat flow. It travels at a speed of 24 km / hr against the current. So speed up the slow water flow of the boat?

Ans. :

The speed of the boat in slow water = ( a + b ) / 2.

= ( 30 + 24 ) / 2

= 54 / 2.

= 27 km/hr.

Flow Speed = ( a – b ) / 2.

= ( 30 – 24 ) / 2

= 6 / 2

= 3 km/hr.

2) 12 km / hr in the direction of a boat flow. It travels at a speed of 8 km / hr against the current. So speed up the slow water flow of the boat?

Ans :

The speed of the boat in slow water = ( a + b ) / 2.

= ( 12 + 8 ) / 2

= 20 / 2.

= 10 km/hr.

Flow Speed = ( a – b ) / 2.

= ( 12 – 8 ) / 2

= 4 / 2

= 2 km/hr.

#### Word Problems :

3) If a person swims 42 km in the direction of the current and 30 km in the opposite direction of the current every 6 hours, then calculate the speed of the current.

Ans. :

The speed of man towards the stream = 42 / 6 = 7 km/hr.

Man’s velocity in the opposite direction of flow = 30 / 6 = 5 km/hr.

Flow Speed = ( 7 – 5 ) / 2 = 2 / 2 = 1 km/hr.

4) A person swims in the direction of the stream at a speed of 15 km / hr. If the velocity of flow is 3 km / hr, So what is the speed of that person in the opposite direction of the current ?

Ans. :

Suppose a person speeds up against the current = x

The velocity of the person towards the stream = 15 km / hr.

Flow Speed = 3 km/hr.

Flow speed = ( velocity in the direction of flow ) – ( velocity in the opposite direction of flow ) / 2.

3 = ( 15 – x ) / 2

6 = 15 – x

x = 15 – 6

x = 9.

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