Question

The speed of a bus is 24 km/hr. How much distance will it travel in 12 seconds?
A.160 m
B.100 m
C.120 m
D.80 m

Answer 1

Hint: According to the given question, firstly you have to convert 24 km/hr into m/s as we have to calculate distance into m. After converting use the formula to Distance = \[speed \times Time\] calculate distance covered in 12 seconds.

Formula used:
 Here, we use the formula Distance = \[speed \times Time\]

Complete step-by-step answer:
As we know, there are 60 seconds in 1 minute and 60 minutes in 1 hour that is \[1hr = 60 \times 60\sec onds\] and we also know that there are 1000 metres in a kilometre.
We are given with the Speed of bus = 24 km/hr
Here, we will convert km/hr into m/s as we have to calculate distance in m .
\[ \Rightarrow \dfrac{{24 \times 1000}}{{60 \times 60}}\] m/s
Therefore, Distance covered in 12 second is calculated by using the formula Distance = \[speed \times Time\] .
By substituting the values of speed and time we get,
\[ \Rightarrow \dfrac{{24 \times 1000}}{{60 \times 60}} \times 12\] m
After cancelling all the zeros we get,
\[ \Rightarrow \dfrac{{24 \times 10}}{{6 \times 6}} \times 12\] m
Now, dividing 12 and 24 with 6.
\[ \Rightarrow 4 \times 10 \times 2\]
On multiplying above equation we get,
Therefore, Distance covered in 12 seconds is 80 m .
Hence, option (D) 80 m is correct.

Additional Information:
These types of questions can come in the form that you have to calculate speed for which the formula become speed = \[\dfrac{{Dis\tan ce}}{{Time}}\] and for the calculation of time the formula become Time = \[\dfrac{{Dis\tan ce}}{{speed}}\] .

Note: To solve these types of questions, we must know the conversions of kilometres to metres and hours to seconds and vice versa. So, according to the required question we can get our units and hence solve the question accordingly by using the specified formula.