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Question

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

A
40 km
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B
28 km
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C
42 km
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D
48 km
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Solution

## The correct option is A 40 kmLet distance be x Kmph and speed y kmphNow, according to question,xy−xy+3=4060.3xy(y+3)=23 ...................................(i)xy−2−xy=4060 Divide (i) by (ii)2xy(y−2)=23 .........................(ii)Divide (i) and (ii)y(y−2)y(y+3)=233y2−6y=2y2+6yy2−12y=0y=0,y=12From (i)Substitute value of y=12 in (i)3x12(12+3=23x=40 kmph.

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