Question
Download Solution PDFA person drove at 28 kmph for 2.5 hours, then increased his speed by 28 kmph, and reached the destination in another hour. Find the average speed (in kmph) of the person during the entire journey.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed for the first part of the journey = 28 kmph
Time for the first part = 2.5 hours
Speed for the second part = 28 + 28 = 56 kmph
Time for the second part = 1 hour
Formula used:
Average Speed = Total Distance / Total Time
Calculation:
Distance covered in the first part = Speed × Time
⇒ Distance1 = 28 × 2.5 = 70 km
Distance covered in the second part = Speed × Time
⇒ Distance2 = 56 × 1 = 56 km
Total Distance = Distance1 + Distance2
⇒ Total Distance = 70 + 56 = 126 km
Total Time = Time for the first part + Time for the second part
⇒ Total Time = 2.5 + 1 = 3.5 hours
Average Speed = Total Distance / Total Time
⇒ Average Speed = 126 / 3.5
⇒ Average Speed = 36 kmph
∴ The correct answer is option (4).
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