Question : A car covers a particular distance in 3 hours with a speed of 54 km/hr. If the speed is increased by 27 km/hr, the time taken by the car to cover the same distance will be:
Option 1: $2 \mathrm{~hours}$
Option 2: $1 \mathrm{~hour}$
Option 3: $2 \frac{1}{2} \mathrm{~hours}$
Option 4: $1 \frac{1}{2} \mathrm{~hours}$
Correct Answer: $2 \mathrm{~hours}$
Solution :
Given: A car covers a particular distance in 3 hours with a speed of 54 km/hr.
The total distance = speed × time = (54 × 3) = 162 km
Now, the speed is increased by 27 km/hr,
So, the new speed = (54 + 27) = 81 km/hr
$\therefore$ Required time to cover the same distance = $\frac{162}{81}$ = $2 \mathrm{~hours}$
Hence, the correct answer is $2 \mathrm{~hours}$.
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