Formula | Description |
---|---|
Distance = Speed × Time | The formula to calculate distance when speed and time are given. |
Speed = Distance / Time | The formula to calculate speed when distance and time are given. |
Time = Distance / Speed | The formula to calculate time when distance and speed are given. |
Question 1
A car travels a distance of 240 km in 4 hours. What is its average speed?
Solution: Average speed = Total distance / Total time
Average speed = 240 km / 4 hours = 60 km/h
Requested by: Arsh
Question 2
A train covers a distance of 480 km in 6 hours. What is its speed?
Solution: Speed = Distance / Time
Speed = 480 km / 6 hours = 80 km/h
Requested by: Arsh
Question 3
A cyclist covers a distance of 30 km in 2 hours. What is the average speed?
Solution: Average speed = Total distance / Total time
Average speed = 30 km / 2 hours = 15 km/h
Requested by: Arsh
Question 4
A bus travels at a speed of 60 km/h for 3 hours. What distance does it cover?
Solution: Distance = Speed × Time
Distance = 60 km/h × 3 hours = 180 km
Requested by: Hallar
Question 5
A car travels a distance of 120 km at a speed of 40 km/h. How long does it take?
Solution: Time = Distance / Speed
Time = 120 km / 40 km/h = 3 hours
Requested by: Hallar
Question 6
A person walks at a speed of 6 km/h for 4 hours. How far does the person walk?
Solution: Distance = Speed × Time
Distance = 6 km/h × 4 hours = 24 km
Requested by: Hallar
Question 7
A train travels at a speed of 80 km/h for 2.5 hours. What distance does it cover?
Solution: Distance = Speed × Time
Distance = 80 km/h × 2.5 hours = 200 km
Requested by: Khalil
Question 8
A cyclist covers a distance of 50 km in 2.5 hours. What is the average speed?
Solution: Average speed = Total distance / Total time
Average speed = 50 km / 2.5 hours = 20 km/h
Requested by: Khalil
Question 9
A car travels at a speed of 90 km/h for 6 hours. How far does it travel?
Solution: Distance = Speed × Time
Distance = 90 km/h × 6 hours = 540 km
Requested by: Khalil
Question 10
A runner completes a marathon of 42.195 km in 3 hours and 30 minutes. What is the average speed?
Solution: Convert 3 hours and 30 minutes to hours: 3 hours + 30 minutes/60 = 3.5 hours
Average speed = Total distance / Total time
Average speed = 42.195 km / 3.5 hours ≈ 12.056 km/h
Requested by: Khalil
Question 11
A car travels at a speed of 60 km/h for 2 hours. What distance does it cover?
Solution: Distance = Speed × Time
Distance = 60 km/h × 2 hours = 120 km
Requested by: Azad
Question 12
A cyclist covers a distance of 80 km in 5 hours. What is the average speed?
Solution: Average speed = Total distance / Total time
Average speed = 80 km / 5 hours = 16 km/h
Requested by: Azad
Question 13
A bus travels a distance of 360 km at a speed of 90 km/h. How long does it take?
Solution: Time = Distance / Speed
Time = 360 km / 90 km/h = 4 hours
Requested by: Azad
Question 14
A person walks at an average speed of 5 km/h for 3 hours. How far does the person walk?
Solution: Distance = Speed × Time
Distance = 5 km/h × 3 hours = 15 km
Requested by: Azad
Question 15
A car travels at a speed of 50 km/h for the first half of the distance and then increases its speed to 100 km/h for the second half. What is the average speed for the entire journey?
Solution: Since the distances for both halves are the same, the average speed is simply the harmonic mean of the two speeds:
Average speed = (2 * Speed1 * Speed2) / (Speed1 + Speed2)
Average speed = (2 * 50 km/h * 100 km/h) / (50 km/h + 100 km/h)
Average speed = 66.67 km/h
Requested by: Mazhar
Question 16
A train travels from Station A to Station B at a speed of 60 km/h. On the return journey from Station B to Station A, it encounters some delay and reduces its speed to 40 km/h. If the total time taken for the round trip is 10 hours, what is the distance between the two stations?
Solution: Let the distance between the two stations be D km.
Time taken for the forward journey = D / 60 hours
Time taken for the return journey = D / 40 hours
Total time taken = D / 60 + D / 40 = 10 hours
Solving for D, we find D = 120 km
Requested by: Ali
Question 17
A person covers a certain distance at a speed of 5 km/h. If the speed is doubled, how much faster can the person cover the same distance?
Solution: Speed doubles from 5 km/h to 10 km/h.
The increase in speed is 10 km/h – 5 km/h = 5 km/h.
The person can cover the same distance 5 km/h faster.
Requested by: Raza
Question 18
Two cars start from the same point and travel towards each other. Car A travels at a speed of 60 km/h, while Car B travels at a speed of 40 km/h. If the distance between them is 400 km, how long will it take for them to meet?
Solution: The combined speed of the two cars is 60 km/h + 40 km/h = 100 km/h.
Time taken = Distance / Speed
Time taken = 400 km / 100 km/h = 4 hours
Requested by: Raza
Question 19
A boat can travel at a speed of 20 km/h in still water. It takes 4 hours to travel upstream against a current and 3 hours to travel downstream with the current between two points. What is the speed of the current?
Solution: Let the speed of the current be x km/h.
Upstream speed = Boat speed – Current speed = 20 km/h – x km/h
Downstream speed = Boat speed + Current speed = 20 km/h + x km/h
Distance = Speed × Time
Distance upstream = (20 km/h – x km/h) × 4 hours
Distance downstream = (20 km/h + x km/h) × 3 hours
Equating the two distances: (20 – x) × 4 = (20 + x) × 3
Solving for x, we find x = 5 km/h
Therefore, the speed of the current is 5 km/h.
Requested by: Ismail
Question 20
A train travels at a speed of 80 km/h for the first half of the distance and then reduces its speed to 60 km/h for the second half. If the total time taken for the journey is 6 hours, what is the average speed?
Solution: Since the distances for both halves are the same, the average speed is simply the harmonic mean of the two speeds:
Average speed = (2 * Speed1 * Speed2) / (Speed1 + Speed2)
Average speed = (2 * 80 km/h * 60 km/h) / (80 km/h + 60 km/h)
Average speed = 68.57 km/h
Requested by: Azad
Question 21
A cyclist covers a distance of 15 km at a speed of 10 km/h. However, due to a flat tire, the cyclist has to walk back at a speed of 5 km/h. What is the average speed for the entire journey?
Solution: The total time taken for the journey can be calculated as:
Time taken for cycling = Distance / Speed = 15 km / 10 km/h = 1.5 hours
Time taken for walking = Distance / Speed = 15 km / 5 km/h = 3 hours
Total time taken = 1.5 hours + 3 hours = 4.5 hours
Average speed = Total distance / Total time = 30 km / 4.5 hours ≈ 6.67 km/h
Requested by: Unknown
Question 22
A car travels a distance of 180 km at a certain speed. If the speed is increased by 20 km/h, the same distance can be covered in 2 hours less. Find the original speed of the car.
Solution: Let the original speed of the car be x km/h.
Time taken at original speed = Distance / Speed = 180 km / x km/h = 180/x hours
Time taken at increased speed = Distance / Speed = 180 km / (x + 20) km/h = 180/(x + 20) hours
According to the given condition, the difference in time is 2 hours:
180/x – 180/(x + 20) = 2
Solving this equation will give the value of x, the original speed of the car.
Requested by: Unknown
Question 23
A boat can travel a certain distance downstream in 4 hours. The return journey against the current takes 6 hours. If the speed of the boat in still water is 10 km/h, what is the speed of the current?
Solution: Let the speed of the current be x km/h.
Downstream speed = Boat speed + Current speed = 10 km/h + x km/h
Upstream speed = Boat speed – Current speed = 10 km/h – x km/h
Distance downstream = Speed × Time = (10 km/h + x km/h) × 4 hours
Distance upstream = Speed × Time = (10 km/h – x km/h) × 6 hours
Equate the two distances and solve for x to find the speed of the current.
Requested by: Atique
Question 24
A person walks at a speed of 5 km/h for the first 2 hours, then increases the speed to 7 km/h for the next 3 hours. What is the average speed for the entire journey?
Solution: To find the average speed, we need to calculate the total distance and the total time.
Distance covered in the first 2 hours = Speed × Time = 5 km/h × 2 hours = 10 km
Distance covered in the next 3 hours = Speed × Time = 7 km/h × 3 hours = 21 km
Total distance = 10 km + 21 km = 31 km
Total time = 2 hours + 3 hours = 5 hours
Average speed = Total distance / Total time = 31 km / 5 hours = 6.2 km/h
Requested by: Zain