Distance, rate, and time Quiz 1

Question 1

A bike of length $$4\,m$$ wants to overtake a bus of length $$20\,m$$ travelling at $$36\,km/hr$$ within $$10\,\sec $$. At what speed should the bike travel?

Accepted Answer

$$12.4$$

Answer

$$12$$

Answer

$$18$$

Answer

$$51.5$$

Question 2

When Sravan increases his speed from $$20\,km/hr$$ to $$25\,km/hr$$, he takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by him?

Accepted Answer

$$100$$

Answer

$$150$$

Answer

$$70$$

Answer

$$120$$

Question 3

Pavan started from Guntur at $$x\,{	ext{hr}}s\,y\,{	ext{minutes}}$$ and travelled to Vellore. He reached Vellore at $$y\,{	ext{hrs}}\,z\,{	ext{minutes}}$$. If the total travel time was $$z\,{	ext{hrs}}\,x\,{	ext{minutes}}$$, his starting time in Guntur could have been __ $$($$clock format is $$0$$ to $$24hrs)$$. Given that he reached Vellore on the same day.

Accepted Answer

$$00:20\,hrs$$

Answer

$$2:00\,hrs$$

Answer

$$13:03\,hrs$$

Answer

$$12:01\,hrs$$

Question 4

Two trains $$A$$ and $$B$$  are $$100\,m$$ and $$150\,m$$ long and are moving at one another at $$54\,km/hr$$ and $$36\,km/hr$$ respectively. Ravi is sitting on the train $$B_1$$ of the train $$A (B_1$$ is the first coach$$)$$. Calculate the time taken by Ravi to completely cross Train $$B$$.

Accepted Answer

$$6s$$

Answer

$$5s$$

Answer

$$8s$$

Answer

$$4s$$

Question 5

In a bike race, bike $$B_1$$ beats bike $$B_2$$ by $$45km$$, bike $$B_2$$ beats bike $$B_3$$ by $$50km$$, and bike $$B_1$$ beats bike $$B_3$$ by $$90km$$. The distance over which the race has been conducted in km is

Accepted Answer

$$450$$

Answer

$$420$$

Answer

$$350$$

Answer

$$550$$