Profile
Settings
Refer your friends
Sign out
Distance Speed In the Mathematics or Quants section of any competitive exam, time is one of the most well-liked and significant topics. For inquiries about a variety of subjects, including motion in a straight line, circular motion, boats and streams, races, clocks, etc., the concept of Speed, Time, and Distance is frequently used. Candidates should make an effort to comprehend how the variables of speed, distance, and time interact.
Speed
The rate at which an object goes from one location to another in a predetermined amount of time is referred to as its speed. It is a scalar quantity since it simply describes the magnitude of an object’s motion, not its direction. M/s is the S.I. unit of speed.
A moving object’s speed can be determined using the formula:
Speed = Distance / Time
can either be uniform or variable.
Time
Time is the amount of time, measured in hours, minutes, or seconds, required to go a specific distance. A moving object’s time to travel a specified distance at a specific speed is calculated as follows:
Time = Distance / Speed
Distance
Distance is the length of a person or object’s path that they have travelled. If you know how long it moved for and how quickly it moved, you can compute the object’s distance travelled. The following formula can be used to determine how far an object or person has travelled in terms of speed and time:
Distance = Speed * time
Speed, Time and Distance Relationship
Speed = Distance/Time – This reveals how quickly or slowly an object is moving. It gives the amount of time it took to travel a certain distance divided by the distance travelled.
Speed is inversely correlated with time and directly correlated with distance. Hence,
Distance = Speed X Time, and
Time = Distance / Speed, The time required will reduce as the speed does, and vice versa.
Speed, Time and Distance Units
Different units can be used to express speed, distance, and time.
In general, seconds, minutes, and hours can be used to express time (hr).
although the measurement of distance is typically done in metres (m), kilometres (km), centimetres (cm), miles (m), feet (ft), etc.
m/s and km/hr are frequently used to express speed.
For instance, using the following formula, if the distance is provided in kilometres and the duration in hours:
Speed = Distance/ Time; If the distance is specified in kilometres and the time in second
Application of Speed, Time & Distance
Average Speed
Average Speed = (Total distance travelled) / (Total time taken)
Case 1 – Average speed is equal to 2xy/x+y when the distance is constant, where x and y are the two speeds at which the same distance has been travelled.
Case 2 – Average speed is equal to (x + y)/2 when the time taken is constant, where x and y are the two speeds we travelled at for the same amount of time.
Inverse Proportionality of Speed & Time
When the Distance is constant, Speed and Time are inversely related. When D is constant, S has an inverse relationship to 1/T. The Time will be in the ratio n:m if the Speeds are in the ratio m:n.
Meeting Point Questions
If two people are travelling from places A and B in the same direction and meet at point P. They will have travelled AB in total distance during the encounter. Both of them will need the same amount of time to meet. The distances AP and BP will be proportional to their respective speeds because Time is constant. Let’s say that d separates A from B.
When two people first see each other while travelling in opposite directions from A and B, they will have travelled a distance of “d.” When they reunite for the second time, they travel a “3-dimensional” distance together. They have travelled a distance of “5d” together by the time they meet for the third time.
Conclusion
Like any other equation, the formula speed = distance/ time can be changed. Speed = distance/time can be rearranged in three different ways. Speed divided by time equals distance. Although the fundamentals of speed, time, and distance stay the same, the kind of problems posed in exams may vary.
