What is the relationship between time, speed, and distance?

The relationship is defined by the formula: Distance = Speed × Time.
This means that distance traveled is directly proportional to both speed and time. If speed increases, distance increases if time remains constant, and vice versa.

What is the formula for calculating speed when distance and time are known?

The formula for calculating speed is
Speed = Distance / Time.
For Example, 
If a car travels 300 km in 5 hours, its speed is: Speed 
= 300 km / 5 h 
= 60 km/h.

If a runner covers a distance of 10 km in 50 minutes, what is their speed in km/h? 

(Hint: Convert time from minutes to hours before using the formula Speed = Distance / Time)

First, convert 50 minutes to hours: 
50 minutes = 50/60 hours = 5/6 hours. 
Then, use the formula: .

A car travels 120 km in 1.5 hours. How long will it take to travel an additional 180 km at the same speed? 

(Hint: First, find the speed and calculate the time )

Two trains leave the same station at the same time. Train A travels at 70 km/h and Train B at 90 km/h. How far apart will they be after 2 hours? 

(Hint: Calculate the distance and find the difference)

Distance of Train A 
= Speed × Time 
= 70 km/h × 2 h 
= 140 km. 
Distance of Train B 
= 90 km/h × 2 h 
= 180 km. 
The distance apart 
= 180 km - 140 km 
= 40 km.

If a cyclist and a motorist travel the same distance of 100 km, and the cyclist's speed is 15 km/h while the motorist's speed is 60 km/h, who arrives first and by how much time? 

(Hint: Calculate the time taken by each)

Time for cyclist 
= Distance / Speed 
= 100 km / 15 km/h 
= 6.67 hours. 
Time for motorist 
= 100 km / 60 km/h 
= 1.67 hours. 
The motorist arrives first. 
Time difference 
= 6.67 - 1.67 = 5 hours.

A boat travels upstream at 10 km/h and downstream at 15 km/h. What is the average speed of the boat for a round trip of 30 km upstream and 30 km downstream? 

(Hint: Use the formula for average speed)

Total distance = 30 km upstream + 30 km downstream 
= 60 km. 
Time upstream 
=30 km / 10 km/h 
= 3 hours. 
Time downstream 
= 30 km / 15 km/h 
= 2 hours. 
Total time = 3 + 2 
= 5 hours. 
Average Speed 
= 60 km / 5 h 
= 12 km/h.

A train travels 240 km at a speed of 60 km/h. How long does the journey take? 

(Hint: Use the formula Time = Distance / Speed.)

Using the formula: 
Time = Distance / Speed, we find Time 
= 240 km / 60 km/h 
= 4 hours. 
Therefore, the journey takes 4 hours.

If a cyclist travels at a speed of 15 km/h and takes a break for 30 minutes after riding for 1.5 hours, what distance does he cover before the break? 

(Hint: Calculate using Distance = Speed × Time)

Distance = Speed × Time = 15 km/h × 1.5 h 
= 22.5 km. 
Thus, the cyclist covers 22.5 kilometers before the break.

A car travels from City A to City B, a distance of 300 km, at an average speed of 75 km/h. If the car stops for 1 hour, what is the total time for the journey? 

(Hint: First calculate the travel time without the stop)

Travel time without the stop = Distance / Speed = 300 km / 75 km/h = 4 hours. Total time = 4 hours + 1 hour (stop) = 5 hours.