Busy-Beaver BotStoryspinners · word problems

Builds a dam against the clock: work problems.

Motion and Work Problems

Work problems. In MathBound, the free Algebra I adventure game, Busy-Beaver Bot asks these problems, and the only way past is to solve them.

Part of More topics: taught by some textbooks beyond the usual course.

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Uniform Motion: Equal Time. Solve motion applications by setting up a rational equation where two entities share the same travel time (t = d/r).
Uniform Motion: Currents/Wind. Set up a rational equation for uniform motion where a vehicle travels with and against a current or wind.
Work: Solve for Total Time. Solve basic work applications to find the time it takes two entities to complete a task together (1/a + 1/b = 1/t).
Work: Relative Rates. Set up a rational equation where one worker takes a specific amount of time longer than another to complete a task.
Work: Solve for Individual Time. Set up a basic work equation (1/a + 1/b = 1/t) given individual times to find the combined time.

Made by the game’s own question engine. Try each one, then open its steps.

A

train

covers

300

miles

in

the

same

time

a

car

covers

250

miles.

The

train

is

10

mph

faster.

How

fast

is

the

car?

Show the worked steps

Answer: $50$ $mph$

A

boat

moves

14

mph

in

still

water.

It

covers

32

miles

downstream

in

the

same

time

as

24

miles

upstream.

How

long

does

each

trip

take?

Show the worked steps

$Equal$ $times$ $gives$ $the$ $current:$ $c = 2$ $mph,$ $so$ $downstream$ $the$ $boat$ $makes$ $16$ $mph.$
$Time$ $= \frac{32}{16} = 2$ $hours.$

Answer: $2$ $hours$

Three

pipes

fill

a

tank

in

2, 4

and

4

hours

on

their

own.

How

long

do

they

take

all

together?

Show the worked steps

Answer: $1$ $hour$

Textbook	Lessons
Glencoe Algebra 1	11-8
OpenStax Elementary Algebra 2e	8.8
Pearson Algebra 1 Common Core	11-5