Question
Download Solution PDFA travels 15 km with a speed of 30 km/h. He travels another 25 km with a speed of 10 km/h. What is his average speed for the entire journey?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Distance1 = 15 km, Speed1 = 30 km/h
Distance2 = 25 km, Speed2 = 10 km/h
Formula Used:
Speed = Distance/Time
Average speed = Total distance/Total time
Calculation:
According to the question,
Total distance = 15 + 25 = 40 km
Total time = 15/30 + 25/10
⇒ (15 + 75)/30 = 90/30 = 3 hours
Average speed = 40/3 km/h
∴ The average speed for the entire journey is 40/3 km/h.
Given
D1 = 15 km, S1 = 30 km/h
D2 = 25 km, S2 = 10 km/h
Formula Used:
Average speed = \(\frac{{{D_1} + {D_2}}}{{\frac{{{D_1}}}{{{S_1}}} + \frac{{{D_2}}}{{{S_2}}}}}\)
Calculation:
Average speed for the entire journey = \(\frac{{15 + 25}}{{\frac{{15}}{{30}} + \frac{{25}}{{10}}}}\)
\(= \frac{{40}}{{0.5 + 2.5}}\)
\(= \frac{{40}}{3}\;km/h\)Last updated on May 28, 2025
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