Mr. Prasad travelled equal distances at speeds of 2 km / hr, 4 km / hr, and 6 km / hr, and to

Step 1: Let the distance travelled at each speed be ( d ) km. Since Mr. Prasad travelled equal d

Mr. Prasad travelled equal distances at speeds of 2 km /...

Mr. Prasad travelled equal distances at speeds of $2 \mathrm{~km} / \mathrm{hr}, 4 \mathrm{~km} / \mathrm{hr}$, and $6 \mathrm{~km} / \mathrm{hr}$, and took a total of 55 minutes to complete. Find the total distance he travelled, in $\mathrm{km}$.
(a) 2
(b) 1
(c) 4
(d) 3

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Uniform Motion

This concept explains the relationship between distance, speed, and time when an object moves at a constant speed. The fundamental formula used is distance = speed × time, which forms the basis for solving problems in motion.

Distance-Speed-Time Relationship

This principle highlights that time can be determined by dividing the distance by the speed when traveling uniformly. It underpins the method of breaking a journey into segments, where each segment’s time is calculated independently.

Summation of Time Intervals

In problems where a journey is divided into multiple segments with different speeds, the total time taken is the sum of the individual times for each segment. This approach is critical when setting up equations to model the overall trip duration.

Algebraic Equation Formation

Once the individual time intervals for each segment of a journey are calculated, they can be summed to form an equation that relates the known total time to the unknown variables. Solving this equation using algebra allows you to determine the missing quantities, such as the distance traveled per segment.

Please give Ace some feedback