Question

A train first travels for 30 meters with a velocity of 3:30 kilometers per hour and then for ten meters with a velocity of 40 kilometers per hour in the same direction. Calculate the total distance traveled and the average velocity of the train.

a) Total distance: 40 meters, Average velocity: 20 km/hr
b) Total distance: 40 meters, Average velocity: 25 km/hr
c) Total distance: 50 meters, Average velocity: 20 km/hr
d) Total distance: 50 meters, Average velocity: 25 km/hr

Answer 1

The total distance traveled by the train is 40 meters and the average velocity of the train is 20 km/hr.

Step-by-step explanation:

To calculate the total distance traveled by the train, we add the distance traveled at each velocity, which is 30 meters + 10 meters = 40 meters.

The average velocity of the train can be calculated by taking the total distance traveled and dividing it by the total time taken. The train travels 30 meters at a velocity of 3:30 kilometers per hour and then 10 meters at a velocity of 40 kilometers per hour in the same direction. The total time taken can be calculated by dividing the total distance traveled, 40 meters, by the average velocity of the train, which is the sum of the products of the individual velocities and distances divided by their respective durations. Therefore, the average velocity of the train is 20 km/hr.