A train travels 150 km in 3 hours. If it increases its speed by 20 km/h, how lon

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Question: A train travels 150 km in 3 hours. If it increases its speed by 20 km/h, how long will it take to cover the same distance?

Options:

Correct Answer: 1 hour

Solution:

Original speed = 150 km / 3 hours = 50 km/h. New speed = 50 km/h + 20 km/h = 70 km/h. Time = Distance / Speed = 150 km / 70 km/h = 2.14 hours.

A train travels 150 km in 3 hours. If it increases its speed by 20 km/h, how long will it take to cover the same distance?

A train travels 150 km in 3 hours. If it increases its speed by 20 km/h, how long will it take to cover the same distance?

Step 1: Find the original speed of the train by dividing the distance by the time. The distance is 150 km and the time is 3 hours. So, original speed = 150 km / 3 hours.
Step 2: Calculate the original speed. 150 km / 3 hours = 50 km/h.
Step 3: Increase the original speed by 20 km/h. New speed = 50 km/h + 20 km/h.
Step 4: Calculate the new speed. 50 km/h + 20 km/h = 70 km/h.
Step 5: Use the new speed to find out how long it will take to cover the same distance of 150 km. Use the formula: Time = Distance / Speed.
Step 6: Substitute the values into the formula. Time = 150 km / 70 km/h.
Step 7: Calculate the time. 150 km / 70 km/h = approximately 2.14 hours.

Speed, Distance, and Time – Understanding the relationship between speed, distance, and time, and how to calculate one when the other two are known.
Unit Conversion – Ensuring that units are consistent when performing calculations, particularly with speed (km/h) and time (hours).