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Question

# A lady covers a certain distance on her scooty. Had she moved 9 kmph faster she would have taken 2 hrs less. If she had moved 6 kmph slower, she would have taken 2 hrs more. Find the distance.

A

180 km

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B

270 km

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C

360 km

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D

450 km

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E

540 km

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Solution

## The correct option is C 360 km Let distance = x' m Usual rate = y' kmph xy−xy+9=2 hr 2y(y+9) = 9x ---- (1) xy−6−xy=2hr y(y-6) = 3x -- (2) Divide equations (1) and (2) - by solving we get x = 360 km

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