Time and Distance

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Solved Examples -5

Conversion of meter per second to kilometer per hour

p meter per second = how much kilometer per hour?

Step (1) Convert meter to kilometer

(∵ 1 kilometer = 1000 meter; So, 1 meter = 1/1000 kilometer)

Step (2) Convert the second into hour

(∵ 1 hour = 3600 second; so, 1 second = 1/3600 hour)

math time and distance meter per second to km per hour2

Thus, p meter per second

math time and distance meter per second to km per hour3

Thus, to convert meter per second to kilometer per hour, you need to multiply it with 18/5 or with 3.6

Solved Examples-5

Conversion of meter per second to kilometer per hour

Multiple Choice Questions

Choose the correct option

Question (1) If a cyclist is running with a speed of 5 meter per second, what will be his speed in kilometer per hour?

(a) 10 km/h

(b) 5 km/h

(d) 18 km/h

Answer : (d) 18 km/h

Solution

Here given speed = 5 m/s

Thus, speed in km/h = ?

We know that 1 km = 1000 meter

Thus, 1 meter = 1/1000 km

And 1 hour = 3600 second

Thus, 1 second = 1/3600 hour

Thus, 5 m/s

math time and distance meter per second to km per hour4

= 18 km/h

Thus, 5 m/s = 18 km/h Answer

Shortcut Method to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 18/5

Thus, 5 m/s

= 18 km/h

Thus, 5 m/s = 18 km/h Answer

Shortcut Method (2) to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 3.6

Thus, 5 m/s

= 5 × 3.6 km/h

= 18 km/h

Thus, 5 m/s = 18 km/h Answer

Question (2) If a cyclist is running with a speed of 7.5 meter per second, what will be his speed in kilometer per hour?

(a) 15 km/h

(b) 10 km/h

(d) 18 km/h

Answer : (c) 27 km/h

Solution

Here given speed = 7.5 m/s

Thus, speed in km/h = ?

We know that 1 km = 1000 meter

Thus, 1 meter = 1/1000 km

And 1 hour = 3600 second

Thus, 1 second = 1/3600 hour

Thus, 7.5 m/s

math time and distance meter per second to km per hour6

= 1.5 ×18 km/h

= 27 km/h

Thus, 7.5 m/s = 27 km/h Answer

Shortcut Method to change meter per second to kilometer per hour

We know that to change meter per second to kilometer per hour, we need to multiply the given speed with 18/5

Thus, 7.5 m/s

= 1.5 ×18 km/h

= 27 km/h

Thus, 7.5 m/s = 27 km/h Answer

Shortcut Method (2) to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 3.6

Thus, 7.5 m/s

= 7.5 × 3.6 km/h

= 27 km/h

Thus, 7.5 m/s = 27 km/h Answer

Question (3) If a car is running with a speed of 10 meter per second, what will be his speed in kilometer per hour?

(a) 12 km/h

(b) 24 km/h

(d) 18 km/h

Answer : (c) 36 km/h

Solution

Here given speed = 10 m/s

Thus, speed in km/h = ?

We know that 1 km = 1000 meter

Thus, 1 meter = 1/1000 km

And 1 hour = 3600 second

Thus, 1 second = 1/3600 hour

Thus, 10 m/s

math time and distance meter per second to km per hour8

= 36 km/h

Thus, 10 m/s = 36 km/h Answer

Shortcut Method to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 18/5

Thus, 10 m/s

= 2 × 18 km/h

= 36 km/h

Thus, 10 m/s = 36 km/h Answer

Shortcut Method (2) to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 3.6

Thus, 10 m/s

= 10 × 3.6 km/h

= 36 km/h

Thus, 10 m/s = 36 km/h Answer

Question (4) If a car is running with a speed of 15 meter per second, what will be his speed in kilometer per hour?

(a) 18 km/h

(b) 36 km/h

(d) 24 km/h

Answer : (c) 54 km/h

Solution

Here given speed = 15 m/s

Thus, speed in km/h = ?

We know that 1 km = 1000 meter

Thus, 1 meter = 1/1000 km

And 1 hour = 3600 second

Thus, 1 second = 1/3600 hour

Thus, 15 m/s

math time and distance meter per second to km per hour10

= 3 × 18 km/h

= 54 km/h

Thus, 15 m/s = 54 km/h Answer

Shortcut Method to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 18/5

Thus, 15 m/s

math time and distance meter per second to km per hour11

= 3 × 18 km/h

= 54 km/h

Thus, 15 m/s = 54 km/h Answer

Shortcut Method (2) to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 3.6

Thus, 15 m/s

= 15 × 3.6 km/h

= 54 km/h

Thus, 15 m/s = 54 km/h Answer

Question (5) If a car is running with a speed of 20 meter per second, what will be his speed in kilometer per hour?

(a) 36 km/h

(b) 45 km/h

(d) 72 km/h

Answer : (d) 72 km/h

Solution

Here given speed = 20 m/s

Thus, speed in km/h = ?

We know that 1 km = 1000 meter

Thus, 1 meter = 1/1000 km

And 1 hour = 3600 second

Thus, 1 second = 1/3600 hour

Thus, 20 m/s

math time and distance meter per second to km per hour12

= 2 × 36 km/h

= 72 km/h

Thus, 20 m/s = 72 km/h Answer

Shortcut Method to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 18/5

Thus, 20 m/s

= 4 × 18 km/h

= 72 km/h

Thus, 20 m/s = 72 km/h Answer

Shortcut Method (2) to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 3.6

Thus, 20 m/s

= 20 × 3.6 km/h

= 72 km/h

Thus, 20 m/s = 72 km/h Answer

Question (6) If a car is running with a speed of 22.5 meter per second, what will be his speed in kilometer per hour?

(a) 71 km/h

(b) 81 km/h

(d) 101 km/h

Answer : (b) 81 km/h

Solution

Here given speed = 22.5 m/s

Thus, speed in km/h = ?

We know that 1 km = 1000 meter

Thus, 1 meter = 1/1000 km

And 1 hour = 3600 second

Thus, 1 second = 1/3600 hour

Thus, 22.5 m/s

math time and distance meter per second to km per hour14

= 2.25 × 36 km/h

= 81 km/h

Thus, 22.5 m/s = 81 km/h Answer

Shortcut Method to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 18/5

Thus, 22.5 m/s

math time and distance meter per second to km per hour15

= 81 km/h

Thus, 22.5 m/s = 81 km/h Answer

Shortcut Method (2) to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 3.6

Thus, 22.5 m/s

= 22.5 × 3.6 km/h

= 81 km/h

Thus, 22.5 m/s = 81 km/h Answer

Question (7) If a car is running with a speed of 25 meter per second, what will be his speed in kilometer per hour?

(a) 60 km/h

(b) 75 km/h

(d) 90 km/h

Answer : (d) 90 km/h

Solution

Here given speed = 25 m/s

Thus, speed in km/h = ?

We know that 1 km = 1000 meter

Thus, 1 meter = 1/1000 km

And 1 hour = 3600 second

Thus, 1 second = 1/3600 hour

Thus, 25 m/s

math time and distance meter per second to km per hour16

= 2.5 × 36 km/h

= 90 km/h

Thus, 25 m/s = 90 km/h Answer

Shortcut Method to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 18/5

Thus, 25 m/s

= 5 × 18 km/h

= 90 km/h

Thus, 25 m/s = 90 km/h Answer

Shortcut Method (2) to change meter per second to kilometer per hour

We know that, to change meter per second to kilometer per hour, we need to multiply the given speed with 3.6

Thus, 25 m/s

= 25 × 3.6 km/h

= 90 km/h

Thus, 25 m/s = 90 km/h Answer

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