Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - General Questions (Q.No. 5)
5.
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
9
10
12
20
Answer: Option
Explanation:

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = 9 x 60 min = 10 min.
54

Discussion:
206 comments Page 6 of 21.

Suresh said:   1 decade ago
Excluding stoppages, the speed of a bus is 54 kmph.
Including stoppages, the speed of a bus is 45 kmph.

The difference between 54 and 45 is 9 that means the bus stopped.
Overall about 9 kms.

Formula : (Difference/Bigger value)*60.

Therefore (9/54)*60.

Tushar Mehta said:   9 years ago
It's simple.

Take it in this manner.

In 1 hour without a stoppage, it travels 54km and with stoppages it travels 45km. So by subtracting we get 9km as the distance that could've travelled more.

Time = dis/speed = 9 * 60 (for mins) /54 = 10 mins.

Ranjit said:   2 decades ago
First we have to see what they asked. For how many minutes does the bus stop per hour. For that we have to consider the value 54 (exclude stoppages) ie. , if we consider the value 45 the bus has been already stopped so we are considering value 54.

Harshita said:   1 decade ago
Hi. Please tell what is wrong in the following approach? because I'm not getting the right answer by this.

54 km/hr means in 1hr it will cover 54km.
Now if it stops of x hr the the new speed.
45=54/ (1+x).
So x=9/45 hr= (9/45) 60 min. =12 min?

Suriya said:   10 months ago
@Shravani.

Here is my explanation for your doubt.

It doesn't represent the actual speed, it includes the stoppages to cover less speed. Using 45kmph does not give us the correct answer that's why we use actual speed to find the time taken.
(15)

Lipu said:   1 decade ago
If speed is 54 kmph.

So in one hour bus travels 54 km.

Again time taken by bus to travel 54 km with speed 45 kmph will be (54/45) *60 min=72 min.

So to reach at the same position more time required 12 min.

So 12 min is the stopped time.

Somanka said:   10 years ago
Formula:

If a body moves at an average speed of V1 km/hr to cover a distance of D km without stopping and moves at an average speed V2 km/hr to cover the same distance.

Then stoppage time/hour is: (V1-V2) /V1.

= (54-45)/54 = 10 mins.

Mukesh Kumar Jena said:   1 decade ago
Let for a hrs, bus runs at 54 kmph.

And b hrs, bus runs at 0 kmph.

So avg speed => 45=(54*a)/(a+b).
=> a=5b.

Since we need for 1 hour;
a+b=1 hr.

We got ; b=1/6 hr stoppage time = 10 mins.

Black rose said:   2 years ago
Excluding the stoppages, it is 54kmph. Here the question is about the time taken at every stop, which should be calculated using the speed taken when including the stops, that is 45 kmph. Why is it taken as 54?

Please explain me.
(29)

Arun KR said:   1 decade ago
@Chandini.

Because:

Actual speed of the bus is 54 km(in 1 hour), So Due to the stops it will reduce As 45. To calculate 1 min bus traveled distance using only the actual speed (54). If We take 45 means the bus already stopped.


Post your comments here:

Your comments will be displayed after verification.