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It takes Abbey 30 minutes to walk from Home to Work at a constant pace of 3mph. Abbey wants to reduce this time to 15 minutes. How much faster must Abbey walk?1mph faster2mph faster3mph faster4mph faster5mph faster6mph faster

Question

It takes Abbey 30 minutes to walk from Home to Work at a constant pace of 3mph. Abbey wants to reduce this time to 15 minutes. How much faster must Abbey walk?1mph faster2mph faster3mph faster4mph faster5mph faster6mph faster

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Solution

First, let's calculate the distance from Abbey's home to her work.

We know that speed = distance/time.

So, we can rearrange this formula to find distance = speed * time.

Abbey's speed is 3mph and she walks for 0.5 hours (30 minutes), so the distance from her home to her work is 3mph * 0.5 hours = 1.5 miles.

Now, Abbey wants to cover this distance in 15 minutes, which is 0.25 hours.

We can use the formula speed = distance/time to find the speed Abbey needs to walk to do this.

So, the speed Abbey needs to walk is 1.5 miles / 0.25 hours = 6mph.

Abbey currently walks at 3mph, so to walk at 6mph, she needs to walk 6mph - 3mph = 3mph faster.

So, the answer is 3mph faster.

This problem has been solved

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