# How many miles has she run?

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Leading up to a marathon, a runner has stepped up her training and set herself a number of streets to cover in a week.

On the first day she covers one quarter of the total distance.

The next day she covers one quarter of what is left.

The following day she covers two fifths of the remainder and on the fourth day half of the remaining distance.

She now has 10 miles left.

How many miles has she run?

posted Nov 17, 2014

She completed 49.25 miles and total distance is 59.25 miles

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A cyclist rides from one point to another over five days.

On the first day she covers one eighth of the total distance.

The next day she covers one quarter of what is left.

The following day she covers two fifths of the remainder

and on the fourth day half of the remaining distance.

The cyclist now has 25 miles left.

How many miles has she travelled?

+1 vote

Garima takes the underground train to work and uses an escalator at the railway station. If Garima runs up 8 steps of the escalator, then it takes her 30.0 seconds to reach the top of the escalator. If she runs up 15 steps of the escalator, then it takes her only 12.5 seconds to reach the top.

How many seconds would it take Garima to reach the top if she did not run up any steps of the escalator at all?