Question : The distance between the two towns is covered in 7 hours and 30 minutes, at the speed of 72 km/hr. The time saved if the speed is increased by 25% is:
Option 1: 1 hour 36 minutes
Option 2: 1 hour 50 minutes
Option 3: 1 hour 30 minutes
Option 4: 1 hour 20 minutes
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Correct Answer: 1 hour 30 minutes
Solution :
Given:
Time = 7.5 hr
Speed = 72 km/hr
Distance = Time × Speed
Distance between two towns = 7.5 × 72 = 540 km
New speed = 72 + $\frac{25}{100}$ × 72 = 90 km/hr
Time taken = $\frac{540}{90}$ = 6 hours
$\therefore$ Time saved = 7.5 hr – 6 hr = 1.5 hours = 1 hour and 30 minutes
Hence, the correct answer is 1 hour 30 minutes.
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