Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A boy walks along the three edges of an equilateral triangle at average speeds of 3 km/h, 9 km/h and 8 km/h. What is the average speed along the whole journey?

**A**

$5{11/41}$ kmph.

**B**

$6{17/40}$ kmph.

**C**

$4{3/43}$ kmph.

**D**

$7{38/43}$ kmph.

**Soln.**

**Ans: a**

Let the edge of the triangle be L. Total distance travelled = 3L. Time taken = $L/3 + L/9 + L/8$. So overall average speed = ${3L}/{L/3 + L/9 + L/8}$ which simplifies to ${216/41}$, which is same as: $5{11/41}$ km/h.

### Question 2

A train passes two persons walking in the same direction as the train. The time it takes to move past the man running at 5km/h is 8sec, whereas the time it takes to cross the other man running at 6km/h is 9sec. What is the speed of the train?

**A**

14km/h.

**B**

15km/h.

**C**

13km/h.

**D**

16km/h.

**Soln.**

**Ans: a**

Let the speed of the train be v km/h. Length of the train calculated with the data for the first man = $(v - 5) × 8$. It should equal the length obtained from the data for the second man. So $(v - 5) × 8$ = $(v - 6) × 9$. Please note that we have not converted seconds to hours because that factor will ultimately cancel away. Solving for v we get 14km/h.

### Question 3

Two cars A and B begin to move towards each other and meet midway after travelling equal distance. What is the initial distance between them if the speeds of A and B are 2 km/h and 4 km/h, and B started 1 hour late?

### Question 4

An object covers a distance of 2800 meters in 21 minutes. What is its speed?

### Question 5

Two cars, A and B, start to move towards each other. If they meet when A has travelled $(1/6)$^{th} of the distance, what is the ratio of the speed of B to the speed of A?

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This Blog Post/Article "Distance and Time Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.