Answer

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Hint: In the question it is given that a bus can travel a certain distance in a duration of time. Use this information to take out the speed with which the bus must be travelling using the formula of distance travelled = speed multiplied with time. After computation of speed the distance travelled by the bus in 9 hours can be easily calculated.

Complete step-by-step answer:

Given data

A bus can travel 120 km in 3 hours.

Therefore distance (d) = 120 km.

Time (t) = 3 hours.

Now as we know distance (d) is equal to speed (s) time’s time (t).

$ \Rightarrow d = s \times t$………………. (1)

$ \Rightarrow s = \dfrac{d}{t}$

Now substitute the given values in the above equation and calculate the speed of the bus.

Therefore the speed of the bus, $s = \dfrac{{120}}{3} = 40$ Km/hr.

Now we have to find out how much distance it travels in 9 hours.

So, the speed of the bus remains the same at 40 km/hr. and the new time (${t_1}$) is 9 hrs.

Let the new distance be (${d_1}$).

So, from equation (1)

$ \Rightarrow {d_1} = s \times {t_1}$

$ \Rightarrow {d_1} = \left( {40\dfrac{{{\text{km}}}}{{{\text{hr}}}}} \right)\left( {9{\text{ hr}}} \right) = \left( {40 \times 9} \right) = 360$ Km.

So, the bus travels 360 km in 9 hrs.

So, this is the required answer.

Note: Whenever we face such types of problems the key point is the understanding of the basic relation between the distance, speed and time. These are in certain units given in question so make sure that you are synchronizing the units of the answer obtained with that of the question's units provided. This concept will help in getting the right track to reach the answer.

Complete step-by-step answer:

Given data

A bus can travel 120 km in 3 hours.

Therefore distance (d) = 120 km.

Time (t) = 3 hours.

Now as we know distance (d) is equal to speed (s) time’s time (t).

$ \Rightarrow d = s \times t$………………. (1)

$ \Rightarrow s = \dfrac{d}{t}$

Now substitute the given values in the above equation and calculate the speed of the bus.

Therefore the speed of the bus, $s = \dfrac{{120}}{3} = 40$ Km/hr.

Now we have to find out how much distance it travels in 9 hours.

So, the speed of the bus remains the same at 40 km/hr. and the new time (${t_1}$) is 9 hrs.

Let the new distance be (${d_1}$).

So, from equation (1)

$ \Rightarrow {d_1} = s \times {t_1}$

$ \Rightarrow {d_1} = \left( {40\dfrac{{{\text{km}}}}{{{\text{hr}}}}} \right)\left( {9{\text{ hr}}} \right) = \left( {40 \times 9} \right) = 360$ Km.

So, the bus travels 360 km in 9 hrs.

So, this is the required answer.

Note: Whenever we face such types of problems the key point is the understanding of the basic relation between the distance, speed and time. These are in certain units given in question so make sure that you are synchronizing the units of the answer obtained with that of the question's units provided. This concept will help in getting the right track to reach the answer.

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