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A girl moves with a speed of 6 km/h for 2 hours and a speed of 4 km/h for the next 3 hours.

Find:
1. The average speed of the girl.
2. The total distance moved.



Answer :

GinnyAnswer
Sure, let's solve this problem step-by-step.

Step 1: Calculate the distance travelled at each speed.

1. For the first part of the journey:
- Speed = 6 km/h
- Time = 2 hours
- Distance = Speed × Time
[tex]\[ \text{Distance}_1 = 6 \text{ km/h} \times 2 \text{ h} = 12 \text{ km} \][/tex]

2. For the second part of the journey:
- Speed = 4 km/h
- Time = 3 hours
- Distance = Speed × Time
[tex]\[ \text{Distance}_2 = 4 \text{ km/h} \times 3 \text{ h} = 12 \text{ km} \][/tex]

Step 2: Calculate the total distance travelled.

[tex]\[ \text{Total Distance} = \text{Distance}_1 + \text{Distance}_2 = 12 \text{ km} + 12 \text{ km} = 24 \text{ km} \][/tex]

Step 3: Calculate the total time of travel.

[tex]\[ \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 2 \text{ h} + 3 \text{ h} = 5 \text{ h} \][/tex]

Step 4: Calculate the average speed.

The average speed is defined as the total distance travelled divided by the total time taken.

[tex]\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{24 \text{ km}}{5 \text{ h}} = 4.8 \text{ km/h} \][/tex]

Summary

- The total distance moved by the girl is 24 km.
- The average speed of the girl is 4.8 km/h.

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