[2.5] When not moving on the sidewalk, Maya can walk the length of the sidewalk in 7 minutes. If she stand

For Competitive Exams

When not moving on the sidewalk, Maya can walk the length of the sidewalk in 7 minutes. If she stands on the sidewalk as it moves, she can travel the length in 4 minutes. If Maya walks on the sidewalk as it moves, how many minutes will it take her to travel the same distance? Assume she always walks at the same speed, and express your answer as a decimal to the nearest tenth.

3.6

2.5

3.8

2.8

Explanation:

Assume distance of sidewalk "x"

Speed 1 (moving on sidewalk)

Speed 2 (moving off sidewalk)

Since both the movements are in same direction, we can do speed 1 + speed 2

Speed 1 = x4x4

Speed 2 = x7x7

Speed 1 + speed 2 = 11x2811x28 = = 0.39286x

Now new time while moving on sidewalk = x0.39286xx0.39286x = 2.54544

Hence, the answer is 2.5

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