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### Question 1

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?

### Question 2

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 4 km/h and 8 km/h, and B started 1 hour late?

### Question 3

A train takes 3 hours less if its speed is increased by 2 km/hr. What is the normal speed if the distance is 12km?

**A**

2.

**B**

3.

**C**

5.

**D**

4.

**Soln.**

**Ans: a**

Let the normal speed be x km/hr. We have been given $12/x$ - $12/{x + 2}$ = 3. This translates to the quadratic equation $3x^2 + 6x - 24 = 0$, which can be solved to obtain x = 2 as the answer. If you don't want to solve the equation, then you can put each option into this equation and check that way. But this trick will work only if all the options have some numerical value.

### Question 4

Two trains start simultaneously. The first train moves from A to B, whereas the second train moves from B to A. After they meet at a point in between, they respectively take 144 hours and 49 hours to reach their destinations. What is the ratio of their speeds?

### Question 5

An object covers a distance of 1400 meters in 21 minutes. What is its speed?

This Blog Post/Article "Distance and Time Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.