Question
Download Solution PDFA car takes 50 minutes to cover a certain distance at a speed of 54 km/h. If the speed is increased by 25%, then how long will it take to cover three-fourth of the same distance?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A car takes 50 minutes to cover a certain distance at a speed of 54 km/h
Concept used:
Time = Distance/Speed
Calculation:
Distance cover in 50 minutes = 54 × 5/6 = 45 km
Now,
New speed = 54 × 5/4 = 67.5 km/h
3/4 of 45 = 33.75 km
Now,
Time taken = (33.75/67.5) × 60 = 1/2 × 60
⇒ 30 minutes
∴ It will take 30 to cover the distance.
Shortcut TrickSpeed is inversely proportional to the time
Speed ratio = 4 : 5
Time ratio = 5 : 4
Now, 5 = 50 minutes
So, 4 = 40 minutes
So, 40 minutes is for the total journey.
Now, for 3/4th of the journey, it takes 40 × 3/4 = 30 minutes
∴ It will take 30 minutes.
Last updated on Jun 25, 2025
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