Excluding stoppages the speed of a bus and including stoppage it is . For how long does the bus stop per hour?

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answer is D.

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Detailed Solution

Concept- A bus has two speeds. We can determine the distance per hour with and without stoppages by choosing one that excludes stops and one that includes them. Since we already know the speed of the bus when there are no stoppages, we can use this information to set the difference in distances between when there are stoppages and when there are none. As we initially measured the distance traveled per hour, this will be the bus halting time per hour. According to our common understanding of physics, the following is the formula for speed:

Distance traveled by bus while taking into account that it never stops:
In this scenario, the given speed is equal to 54 kmph without any stops.
The distance traveled, if we assume an hour, will be:

If we factor in that the bus will never stop at any location, the distance traveled by bus is 54 km.
Bus journey distance, assuming stops are made at the indicated locations.
Bus speed with stoppages is given as follows:

Distance traveled will be

if we assume that time is measured in hours.
Distance traveled by bus, accounting for the fact that it will make certain stops every hour, is 45 km.

is the difference between the distances.
As of now, the bus travels at a constant speed of 54 kmph.
So, based on the difference in distance, we can determine how frequently the bus stops.

60 minutes make up an hour. With this requirement, we obtain time

.
So, we say that a bus stops every hour for 10 minutes.
Hence, the correct answer is option 4.

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