William cycles at a speed of 15 miles per hour. He cycles 12 miles from home
to school. If he increases his cycling speed by 5 miles per hour, how much
faster will he reach his school?

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absor201 absor201 · Answer 1 · 2020-01-18T18:13:09+01:00

William will reach 12 minutes faster than before

Step-by-step explanation:

Given

Speed =s = 15 miles per hour

Distance = d = 12 miles

First of all we will find the time it takes William to reach school

So,

[tex]speed=\frac{distance}{time}\\s = \frac{d}{t}\\t = \frac{d}{s}\\t = \frac{12}{15}\\t = 0.8\ hours[/tex]

It takes William 0.8 hour to reach school at a speed of 15 miles per hour

Now,

If the speed is increased 5 miles, the new speed will be 20 miles per hour

So,

[tex]s_1 = 20\ mph\\d = 12\ miles[/tex]

So the time taken now will be:

[tex]s_1 = \frac{d}{t_1}\\t_1 = \frac{12}{20}\\t_1 = 0.6\ hours[/tex]

Converting time into minutes

As 1 hour = 60 minutes

So,

t = 0.8 * 60 = 48 minutes

t_1 = 0.6 * 60 = 36 minutes

So,

48-36 = 12 minutes

So,

William will reach 12 minutes faster than before

Keywords: Variables, speed, distance

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