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A person rides bicycle on four different ways to reach the destination. Determine the average speed during this whole journey.
Question

A person rides bicycle on four different ways to reach the destination. Determine the average speed during this whole journey.

A.

4.5 km/hr

B.

3.45 km/hr

C.

5.5 km/hr

D.

2.45 km/hr

Correct option is B

Formula Used:
Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}​​
Solution:
Total Distance = 20 km+ 15 km + 10 km + 24 km = 69 km
Time taken in way A = 20 km5 km/h=4 hours\frac{20 \, \text{km}}{5 \, \text{km/h}} = 4 \, \text{hours}​​
Time taken in way B = 15 km3 km/h=5 hours\frac{15 \, \text{km}}{3 \, \text{km/h}} = 5 \, \text{hours}​​
Time taken in way C = 10 km2 km/h=5 hours\frac{10 \, \text{km}}{2 \, \text{km/h}} = 5 \, \text{hours}​​
Time taken in way D = 24 km4 km/h=6 hours\frac{24 \, \text{km}}{4 \, \text{km/h}} = 6 \, \text{hours}​​
Total Time = 4 hours + 5 hours+ 5 hours + 6 hours = 20 hours
Average Speed = 69 20\frac{69 \, }{20}​ = 3.45 km/h
Therefore, the average speed during the whole journey is 3.45 km/h.

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