Definition: Time, Speed and Distance

Time is a fundamental concept that helps us measure the duration of events. It is what allows us to differentiate between the past, present, and future.

Speed is a measure of how fast an object moves or how quickly a task is completed. It is the rate at which an object covers a certain distance over a specific period.

Distance is the amount of space between two objects or locations. It is what we measure when we want to find out how far one place is from another.

Let’s dive into the Units and Real life applications of Speed, Time and Distance.

Speed, Time, and Distance Formulas

Speed: The distance covered per unit time is called speed. Speed is directly proportional to distance and inversely proportional to time

• Speed = Distance/Time;
• Time = Distance/Speed
• Distance = Speed × time

Units of Speed Time & Distance

• Time : Seconds, minutes, hours
• Distance : meter, kilometer
• Speed : km/ hr, m /sec

Conversion of Units:

• 1 km/hr = 5/18 metre/second
• 1 metre/second = 18/5 km/hr
• 1 Km/hr = 5/8 mile/hr
• 1 mile/hr = 22/15 foot/second
• P km/hr = (P x 5⁄18) m/sec
• P m/sec = (P x 18⁄5) km/hr
• If the ratio of the speeds of P and Q is p:q, then the ratio of the times taken by them to cover the same distance is 1⁄p : 1⁄q or q : p.
• The average speed of the journey is (2pq ⁄ p+q) km/hr if a man covers a certain distance at p km/hr and an equal distance at q km/hr.

Tips and tricks to solve problems

Here are ten tips and tricks to help you solve problems related to speed, time, and distance:

1. Understand the problem: Read the problem carefully and make sure you understand what is being asked. Identify the known quantities and the unknown quantity you need to find.
2. Identify the relevant formula: Based on the known quantities and the unknown quantity, choose the appropriate formula for the problem. Remember the formulas we discussed earlier: Speed = Distance/Time, Time = Distance/Speed, and Distance = Speed × Time.
3. Convert units if necessary: Pay attention to the units given in the problem. If the units are not consistent, convert them to ensure they match. For example, if you have a distance in kilometers and a speed in meters per second, convert the distance to meters.
4. Draw diagrams or visual representations: Visualizing the problem can help you better understand the relationships between speed, time, and distance. Draw diagrams or use visual aids to represent the given information and the unknowns.
5. Assign variables: Assign variables to the known quantities and the unknown quantity. This will help you set up the equation using the appropriate formula.
6. Plug in the values: Substitute the known values into the formula using the assigned variables. Make sure to use the correct units and pay attention to the order of operations.
7. Solve step by step: Solve the equation step by step, simplifying and rearranging as needed. Be careful with units and ensure they cancel out correctly in the calculations.
8. Check your answer: Once you have obtained the solution, double-check your work. Plug the values back into the formula to see if they give the expected result. Make sure your answer makes sense in the context of the problem.
9. Practice mental math: To improve your speed and accuracy, practice mental math techniques. For example, you can estimate distances or calculate speeds mentally to get a rough idea of the answer before performing detailed calculations.
10. Solve a variety of problems: The more practice you get, the better you'll become at solving problems on speed, time, and distance. Try solving different types of problems with varying levels of complexity to sharpen your skills.

Real-Life Applications of Speed, Time and Distance

1. Travel: When you go on a trip with your family, the distance traveled and the time taken are important factors. Understanding speed helps you estimate arrival times and plan pit stops along the way.
2. Sports: In sports such as track and field, swimming, or cycling, athletes strive to achieve the fastest speed to beat their opponents. Timing and distance measurements play a significant role in determining winners and setting records.
3. Transportation: Whether you're traveling by car, train, or airplane, understanding speed and distance helps you estimate travel times and plan your journeys accordingly.
4. Weather Forecasting: Meteorologists use the concepts of speed, time, and distance to predict weather patterns and track the movement of storms. This information helps in issuing warnings and keeping people safe.

Problems

1. What is km/hr for 16 m/sec?
2. Strolling at 7/8 of its typical velocity, a train is 10 minutes past the point of no return. Locate its standard time to cover the trip?
3. The separation between two stations A and B is 450 km. A train begins at 4 pm from A and moves towards B at a normal velocity of 60 km/hr. Another train begins from B at 3.20 p.m and moves towards A at a normal velocity of 80 km/hr. How a long way from A will the two train s meet and what time?
4. I walk a sure separation and ride back setting aside an aggregate time of 37 minutes. I could walk both routes in 55 minutes. To what extent would it take me to ride both ways?
5. A man finishes 30 km of a voyage at 6km/hr and the staying 40km of the venture in 5 hr.His normal pace for the entire voyage is:
6. A train secured a separation at a uniform velocity. On the off chance that the train had been 6 km/hr speedier, it would have taken 4 hours not exactly the booked time, and if the train were slower by 6 km/hr, the train would have taken 6 hours more than the planned time. The length of the trip is?
7. Renu began cycling along the limits of a square field ABCD from corner point A. after thirty minutes, he came to the corner point C, slantingly inverse to A. In the event that his rate was 8 km/hr, the zone of the field is:
8. A woman goes from a city to the beach at 30km/h. On the return trip her speed is 10km/h. What is her average speed for the whole trip?
9. Moving at constant speed, a lorry has driven from town A to town B in an hour and 30min, and from town B to C in an hour. A car, moving by the same way also at constant speed, has driven from town A to B in an hour. How much time did its trip take from town B to C?
10. In order to sew together three short strips of cloth to get one long strip Cathy needs 18 minutes. How much time does she need to sew together a really long piece consisting of six short strips?
11. Michael must take a tablet every 15 minutes. He takes the first at 11:05. When does he take the fourth?
12. Alex lights a candle every 10 minutes. Each candle burns for 40 minutes before going out. How many candles are burning 55 minutes after he lit the first candle?
13. What is the time 17 hours after 17’o clock?
14. Franka wants to walk 5km on average each day in March. At bedtime on 16th March, she realised that she had walked 95km so far. What distance does she need to walk on average for the remaining days of the month to achieve her target?
15. A cyclist covers a distance of 5 m in one second. The wheels of his bike each have a circumference of 125 cm. How many complete turns does each wheel do in 5 seconds?