Question

Andre rode his bike at a constant speed.he rode 1 mile in 5 minutes.which of these equations represents the amount of time t(in minutes) that it takes him to ride a distance of d miles

Answer 1

Given that Andre rode his bike at a constant speed.

Number of miles driven = 1 mile

Time taken to drive 1 mile = 5 minutes.

Then speed can be calculated using formula:

Speed = Distance / Time

$Speed = 1 / 5$

Now we have to find the amount of time t (in minutes) taken by him to right distance d so we can again use same formula.

Speed = Distance / Time

or

Time = Distance / Speed

Plug the given values

$Time = \frac{d}{\frac{1}{5}}$

t = 5d

Hence find answer will be equation t=5d.

Answer 2

Speed is the rate of change of distance over time.

The equation represents the amount of time t is $\mathbf{t = 5 d}$

Speed is calculated using:

$\mathbf{Speed = \frac{distance}{time}}$

When distance = 1 mile, and time = 5 minutes.

We have:

$\mathbf{Speed = \frac{1}{5}}$

When distance = d, and time = t

We have:

$\mathbf{Speed = \frac{d}{t}}$

Substitute $\mathbf{Speed = \frac{1}{5}}$

$\mathbf{\frac{d}{t} = \frac 15}$

Cross multiply

$\mathbf{t = 5 \times d}$

$\mathbf{t = 5 d}$

Hence, the equation represents the amount of time t is $\mathbf{t = 5 d}$

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