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# A Man Covered a Certain Distance at Some Speed. Had He Moved 3 Km/H Faster, He Would Have Taken 40 Min Less. If He Had Moved 2 Km/H Slower, He Would Have Taken 40 Min More. the Distance (In Km) is - Mathematics

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MCQ

A man covered a certain distance at some speed. Had he moved 3 km/h faster, he would have taken 40 min less. If he had moved 2 km/h slower, he would have taken 40 min more. The distance (in km) is

#### Options

• 35

• 36 2/3

• 371

• 40

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#### Solution

40
Explanation:
Let distance = x km and usual rate = y km/h

Then, x/y-x/(y+3)=40/60

⇒ 2y(y+3)=9x                                       ...(i)

and x/(y-2)-x/y=40/60

⇒ y(y-2)=3x                                        ...(ii)

On solving Eqs. (i) and (ii), we get

y = 12, x = 40

Concept: Time, Distance and Speed(Entrance Exam)
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