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### Question 1

Two cars, A and B, start to move towards each other. If they meet when A has travelled $(1/5)$^{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 2 km/h and 8 km/h, and B started 1 hour late?

### Question 3

A vehicle travels 50% of its distance at 5 km/h, and the remaining 50% at 11 km/h. What is the total distance, if it travelled for a total duration of 32 hours?

### Question 4

Speeds of A and B are in the ratio 17 : 11. What is the speed of A if B can cover a distance of 55 Km in 1 hour?

### Question 5

A train passes two persons walking in the same direction as the train. The time it takes to move past the man running at 13km/h is 19sec, whereas the time it takes to cross the other man running at 26km/h is 20sec. What is the speed of the train?

**A**

273km/h.

**B**

274km/h.

**C**

272km/h.

**D**

275km/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 = $(v - 13) × 19$. It should equal the length obtained from the data for the second man. So $(v - 13) × 19$ = $(v - 26) × 20$. Please note that we have not converted seconds to hours because that factor will ultimately cancel away. Solving for v we get 273km/h.

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This Blog Post/Article "Distance and Time Quiz Set 012" 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