Question
Download Solution PDFA car travels at a speed of 24 km/hr and covers a distance of 84 km. After that, the car increases its speed by 25% and covers the next 150 km. What is the total time taken for the entire journey?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSpeed = 24 km/hr, Distance = 84 km.
Time = Distance / Speed.
Substituting the values:
Time1 = 84 / 24 = 3.5 hours
Now, let's calculate the new speed after a 25% increase:
Original speed = 24 km/hr.
Increase in speed = 25% of 24 = 0.25 × 24 = 6 km/hr
New speed = 24 + 6 = 30 km/hr
Speed = 30 km/hr, Distance = 150 km.
Time = Distance / Speed.
Substituting the values:
Time2 = 150 / 30 = 5 hours
Total time = Time for first part + Time for second part.
Substituting the values:
Total Time = 3.5 + 5 = 8.5 hours
Thus, the total time taken for the entire journey is 8.5 hours.
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