Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

The speed of a boat in still water is 84 km/h. It takes the same time to travel an upstream distance of 9 km as it takes to travel a downstream distance of 19 km. The rate of flow of the stream is?

### Question 2

Two similar boats, A and B, start to move towards each other. If they meet when A has travelled $(1/8)$^{th} of the distance, what is the ratio of the upstream speed to the downstream speed of a boat in that river?

**A**

7.

**B**

8.

**C**

6.

**D**

9.

**Soln.**

**Ans: a**

The boats are same, so they have the same speed in still water. Let the upstream speed be u and v be the downstream speed, and let the initial distance between them be L. When they meet they have travelled for the same time. So $(L/8)/u = ({7L}/8)/v$. The ratio $v/u$ = 7.

### Question 3

The speed of a boat in still water is 10 km/h and rate of flow of the stream is 4 km/h. If it travels upstream for 5 hours, what is the distance travelled by the boat during the journey?

### Question 4

Two similar boats, A and B, start to move towards each other. If they meet when A has travelled $(1/5)$^{th} of the distance, what is the ratio of the upstream speed to the downstream speed of a boat in that river?

**A**

4.

**B**

5.

**C**

3.

**D**

6.

**Soln.**

**Ans: a**

The boats are same, so they have the same speed in still water. Let the upstream speed be u and v be the downstream speed, and let the initial distance between them be L. When they meet they have travelled for the same time. So $(L/5)/u = ({4L}/5)/v$. The ratio $v/u$ = 4.

### Question 5

The speed of a steamer in still water, the upstream speed of the steamer and the downstream speed of the steamer form an A.P.(Arithmetic Progression) whose common difference is $1{1/2}$. What is the speed of the river?

**A**

$1{1/2}$ units.

**B**

$2{1/2}$ units.

**C**

$3{1/2}$ units.

**D**

$2{1/4}$ units.

**Soln.**

**Ans: a**

Let the speed of the steamer in still water be u and the speed of the river be v. The three speeds are u - v, u and u + v. They are in an A.P. with a common difference equal to v. Since v is also the speed of the river, the required answer is: $1{1/2}$.

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This Blog Post/Article "Boats and Streams Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-06