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Christian Lawson-Perfect

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Christian Lawson-Perfect 8 years, 7 months ago

Created this as a copy of Bad question.

Name	Status	Author	Last Modified
Bad question	draft	Christian Lawson-Perfect	06/08/2020 08:42
Better question	draft	Christian Lawson-Perfect	06/08/2020 08:42

Question statement

Car starting at point A, with point B in front

A driver travels from point $A$ to point $B$ , $14$ miles away.

The driver travels at a constant speed of $7$ mph.

Give any introductory information the student needs.

			Name	Type	Generated Value

Automatically regenerate variables?

No variables have been defined in this question.

Parts

Part a) Gap-fill
1. Gap Mathematical expression
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Part b) Gap-fill
1. Gap Number entry
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Part c) Gap-fill
1. Gap Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Write a formula for the car's distance in miles from point $A$ , $d(t)$ , in terms of the time elapsed in hours, $t$ .

$d(t) =$ Unnamed gap

Advice

a)

Because the car is travelling at a constant speed, the distance travelled after $t$ hours is equal to the car's velocity, $v$ , multiplied by the time elapsed, $t$ .

We have been told that $v = 7$ mph.

$d(t) = v \times t = 7 t$

b)

We have been given a time in minutes but our formula uses hours, so we first have to convert to hours.

10 minutes is $\frac{1}{6}$ of an hour.

Now, use $t = \frac{1}{6}$ in the formula from part a:

$\begin{align} d(t) &= 7t \\ \simplify[]{d(1/6)} &= 7 \times \frac{1}{6} \\ &= \frac{7}{6} \end{align}$

The car has travelled $\frac{7}{6}$ of a mile in 10 minutes.

c)

We want to find the value of $t$ when the distance travelled is $14$ miles.

Rearrange the formula from part a:

$\begin{align} d(t) &= 7t \\ 14 &= 7t \\ t &= 14 \div 7 \\ &= 2 \end{align}$

The driver takes 2 hours to reach point $B$ .

Give a worked solution to the whole question.

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Taxonomy: mathcentre

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Christian Lawson-Perfect 8 years, 7 months ago

Error in variable testing condition

Parts

Gap-fill

a)

b)

c)