Question
Download Solution PDFA car travels a distance of 60 km at uniform speed, If the speed of car is increased by 8 km/hr, then it takes 2 hours less to cover the same distance. What is the original speed of the car?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance traveled by the car = 60 km
Let the original speed of the car be 's' km/hr
Increased speed of the car = (s + 8) km/hr
Formula:
Time = Distance/Speed
Solution:
Let Ta & Tb be the time required to complete distance at original speed & increased speed respectively
⇒ Ta = \(\frac{60}{s}\) hours
⇒ Tb = \(\frac{60}{s+8}\)
According to the question
⇒ Ta - Tb = \(\frac{60}{s}\) - \(\frac{60}{s+8}\) = 2
⇒ 60s + 480 - 60s = 2s2 + 16s
⇒ s2 + 8s - 240 = 0
On solving s = -20 or s = 12 (∵ s is speed, neglecting negative value)
∴ The original speed of the car is 12 km/hr.
Last updated on May 28, 2025
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