Question 69
A man covers a certain distance on scooter had he moved 3 km/hr faster he would have taken 40 minutes less. If had moved 2 km/hr slower, he would have taken 40 minutes more. The distance in km is
Solution
If he move 3 km/hr faster he would have taken 40 minutes less,
$$\frac{D}{S} - \frac{D}{S + 3} = \frac{40}{60}$$ ..........(1)
If he move 2 km/hr slower, he would have taken 40 minutes more,
$$\frac{D}{S - 2} - \frac{D}{S} = \frac{40}{60}$$ ..........(2)
After solving both the equations we get
$$S = 12$$ kmph
$$D=40$$ km
Hence, option D is the correct answer.
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