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
• B. 270 km
• C. 360 km
• D. 450 km
• E. 540 km

Answer 1

The correct option is C

360 km

Let distance = `x' m

Usual rate = `y' kmph

$\frac{x}{y}-\frac{x}{y+9}=2hr$

2y(y+9) = 9x ---- (1)

$\frac{x}{y-6}-\frac{x}{y}=2hr$

y(y-6) = 3x -- (2)

Divide equations (1) and (2) - by solving we get x = 360 km