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A cyclist travels 150 km in 5 hours and then another 90 km in 3 hours. What is the average speed of the cyclist for the entire journey?
Question

A cyclist travels 150 km in 5 hours and then another 90 km in 3 hours. What is the average speed of the cyclist for the entire journey?

A.

45 km/hr

B.

40 km/hr

C.

35 km/hr

D.

30 km/hr

Correct option is D

Given:
Distance 1 = 150 km, Time 1 = 5 hours
Distance 2 = 90 km, Time 2 = 3 hours
Formula Used:
Average Speed = Total DistanceTotal Time\frac{Total\ Distance}{Total\ Time}​​
Solution:
First, we calculate the total distance covered by the cyclist during the entire journey.
Total Distance = 150 + 90 = 240 km
Next, we calculate the total time taken for the entire journey.
Total Time = 5 + 3 = 8 hours
Now, we apply the average speed formula by putting in the total distance and total time.
Average Speed = 2408 \frac{240}{8}​​
Average Speed = 30 km/hr
Final Answer
So the correct answer is (d)

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