Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A boy walks along the three edges of an equilateral triangle at average speeds of 6 km/h, 2 km/h and 9 km/h. What is the average speed along the whole journey?

**A**

$3{6/7}$ kmph.

**B**

$5{2/3}$ kmph.

**C**

$2{2/9}$ kmph.

**D**

$5{1/3}$ kmph.

**Soln.**

**Ans: a**

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/6 + L/2 + L/9$. So overall average speed = ${3L}/{L/6 + L/2 + L/9}$ which simplifies to ${27/7}$, which is same as: $3{6/7}$ km/h.

### Question 2

A cyclist travels at a speed of 5km/h. Had he travelled at 10km/h he would have covered a distance of 15 km more. What is the total distance travelled by him?

### Question 3

A city bus has an average speed of 17 km/h if it doesn't stop anywhere. But if it stops in-between the average speed drops to 14 km/h. How many minutes does it stop in 1 hour?

### Question 4

Speeds of A and B are in the ratio 7 : 8. What is the ratio of the times that they will take to cover a distance of 100 km?

### Question 5

A boy walks along the three edges of an equilateral triangle at average speeds of 5 km/h, 8 km/h and 3 km/h. What is the average speed along the whole journey?

**A**

$4{44/79}$ kmph.

**B**

$5{49/78}$ kmph.

**C**

$3{38/81}$ kmph.

**D**

$7{10/27}$ kmph.

**Soln.**

**Ans: a**

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/5 + L/8 + L/3$. So overall average speed = ${3L}/{L/5 + L/8 + L/3}$ which simplifies to ${360/79}$, which is same as: $4{44/79}$ km/h.

### More Chapters | See All...

Paper Cutting | Time and Work | Analogies | Statements and Conclusions | Simple Interest | Direction Sense Test | Ranking Test | Percentages | Classification Test | Sitting Arrangements | More...

This Blog Post/Article "Distance and Time Quiz Set 020" 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