Question

A scooterist covers a distance of 3 km in 5 minutes . Calculate his speed in

i) cm/second
ii) m/second
iii) km/hour

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Answer 1

Given
distance = 3 km
time = 5 minutes

1. Speed = distance/time
               =  300000 cm/ 300 sec
               = 1000 cm/s

2. 3 km = 3000m and 5 min = 300 sec
speed = 3000/300 = 10 m/s

3. 3 km = 3 km and 5 min = 1/12 h
Now speed = 3*12/1 = 36 km/h

Answer 2

Given,

A scooterist covers a distance of 3 km in 5 minutes.

To Find,

Calculate his speed in

i) cm/second

ii) m/second

iii) km/hour

Solution,

We can solve the question as follows:

It is given that a scooterist covers a distance of 3 km in 5 minutes. We have to calculate his speed in three different units.

$Distance = 3\: km$

$Time = 5\: minutes$

The speed of an object taken by it to cover a distance in unit time is given as:

$Speed = \frac{Distance}{Time}$

Now,

i) cm/second

We will convert kilometers to centimeters and minutes to seconds.

One kilometer is equal to 100000 cm. 3 km will be equal to:

$1\: km = 10000\: cm$

$3\: km = 300000\: cm$

One minute is equal to 60 seconds. 5 minutes will be equal to:

$1\: minute = 60\: seconds$

$5\: minutes = 300\: seconds$

The speed is:

$Speed = \frac{300000}{300} = 1000\: cm/s$

ii) m/second

We will convert kilometers to meters.

One kilometer is equal to 1000 meters. 3 km will be equal to:

$1\: km = 1000\: m$

$3\: km = 3000\: m$

Since we already know the time in seconds, the speed will be:

$Speed = \frac{3000}{300} = 10\: m/s$

iii) km/hour

We will convert minutes to hours.

One hour is equal to 60 minutes. 5 minutes will be equal to:

$60\: minutes = 1\: hour$

$5\: minutes = \frac{5}{60} = \frac{1}{12} \: hour$

Since the distance is in kilometers, the speed will be:

$Speed = \frac{3}{\frac{1}{12} } = 36\: km/hour$

Hence, the speeds will be 1000 cm/s, 10 m/s, and 36 km/hour.