CAT Relation between Speed, Time and Distance i.e. S = D/T

Solve by difficulty

EASY

A train is moving with a speed of 30 m/s. Its speed is

72 km/h

100 km/h

120 km/h

108 km/h

View Solution

An athlete runs 200 meters race in 24 seconds. His speed is

20 km/hr

24 km/hr

28.5 km/hr

30 km/hr

View Solution

Concepts Covered - 1

Relation between Speed, Time and Distance i.e. S = D/T

Formula:

$\mathrm{S=\frac{D}{T}}$

Where:

- S stands for Speed

- D stands for Distance

- T stands for Time

Detailed Explanation:

1. Speed refers to how fast an object is moving.

2. Distance refers to how much ground an object has covered, regardless of its starting or ending point.

3. Time is the duration for which an object moves.

This relation can be rearranged into:

$\mathrm{D=S\times T}$

$\mathrm{T=\frac{D}{S}}$

Foundation Building Questions :

Question: A car covers a distance of 120 km in 2 hours. What is its speed?

Solution:

Using the formula:

$\mathrm{S=\frac{D}{T}}$

Given:

- D = 120 km

- T = 2 hours

Plugging in the values:

Answer: The speed of the car is 60 km/hr.

Tips and Tricks:

1. Units Matter: Ensure that units of speed, distance, and time are consistent. For example, if you're given speed in km/h and time in minutes, convert time to hours before proceeding.

2. Reciprocal Nature: If speed doubles, the time taken to cover a constant distance is halved. If speed is halved, the time taken is doubled for the same distance.

3. Shortcut for conversion between m/s to km/hr and vice versa:

- To convert from km/hr to m/s, multiply by $\frac{5}{8}$

- To convert from m/s to km/hr, multiply by $\frac{18}{5}$

Remember, practice is key when it comes to quantitative aptitude. The more you work on these formulas and their applications, the more intuitive and easy they'll become during the actual exams.