Question

The distance between Pune and Nasik is 352 km. A bus running at the speed of 40 km/hr left Pune at 22:00 hrs. What time will it reach Nasik?

Answer 1

Hint: We are given the distance between two cities and the speed of a bus running from one city to the other. We will use the formula for speed to find the time taken by the bus to reach the destination. Then we will add this time to the given starting time so that we will get the time of the arrival of the bus to the other city.

Complete step by step answer:
The distance between Pune and Nasik is given as 352 km. The speed of the bus travelling from Pune to Nasik is given as 40 km/hr. We know that the speed is calculated using the following formula,
$\text{speed = }{\displaystyle \frac{\text{distance}}{\text{time}}}$
We know the distance and speed, so we will use the above formula to find the time in the following manner,
$\text{time = }{\displaystyle \frac{\text{distance}}{\text{speed}}}$
Substituting the values in the above equation, we get
$\text{time = }{\displaystyle \frac{352}{40}}=8.8\text{ hrs}$
Now , we know that 1 hr is 60 minutes. Therefore, 0.8 hours will be
$0.8\times 60=48\text{ mins}$
Hence, the time taken by the bus to reach the destination is 8 hours 48 minutes.
The bus left Pune at 22:00 hrs. We will add the 8 hours 48 minutes to 22:00 hrs to get the time of arrival of the bus at Nasik. So, 8 hours 48 minutes after 22:00 hrs is 06:48 hrs.

Therefore, the bus reaches Nasik at 06:48 hrs.

Note: It is essential that we understand the relation between distance, speed and time. When we get the value of time in decimals, we need to convert it into hours and minutes which is the standard way of measuring time. For this conversion, it is better to make the calculations explicit so that we can avoid making any errors.