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A cyclist covers a distance of 6 km in 10 minutes. Calculate his speed in:

(i) Centimeters per second
(ii) Meters per second
(iii) Kilometers per hour

Sagot :

GinnyAnswer
Certainly! Let's calculate the speed of the cyclist in different units step-by-step.

### Given:
- Distance: 6 kilometers
- Time: 10 minutes

### Step-by-Step Solution:

#### (i) Speed in centimeters per second (cm/sec):

1. Convert the distance to centimeters:
- Since 1 kilometer = 100,000 centimeters,
- Distance = 6 km × 100,000 cm/km = 600,000 cm

2. Convert the time to seconds:
- Since 1 minute = 60 seconds,
- Time = 10 minutes × 60 seconds/minute = 600 seconds

3. Calculate the speed:
- Speed = Distance / Time
- Speed = 600,000 cm / 600 s = 1,000 cm/sec

So, the speed of the cyclist is 1,000 centimeters per second.

#### (ii) Speed in meters per second (m/sec):

1. Convert the distance to meters:
- Since 1 kilometer = 1,000 meters,
- Distance = 6 km × 1,000 m/km = 6,000 meters

2. Use the time in seconds (which we already converted above):
- Time = 600 seconds

3. Calculate the speed:
- Speed = Distance / Time
- Speed = 6,000 meters / 600 seconds = 10 m/sec

So, the speed of the cyclist is 10 meters per second.

#### (iii) Speed in kilometers per hour (km/hr):

1. Use the given distance in kilometers:
- Distance = 6 km

2. Convert the time to hours:
- Since 1 hour = 60 minutes,
- Time = 10 minutes / 60 minutes/hour = 1/6 hour

3. Calculate the speed:
- Speed = Distance / Time
- Speed = 6 km / (1/6 hour) = 6 km × 6 = 36 km/hr

So, the speed of the cyclist is 36 kilometers per hour.

In summary:
- Speed in centimeters per second = 1,000 cm/sec
- Speed in meters per second = 10 m/sec
- Speed in kilometers per hour = 36 km/hr
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