Distance

distance


Basics
The formula provided for distance by the Mathematics Formula Sheet is straightforward, but it can be rearranged to ask questions about rate and time, too.

A question involving distance is often a plug-in (where you end up plugging in numbers for letters).

The word per is a hint that a distance-related question could be coming.

distance = rate × time
d = rt
d = distance
r = rate
t = time


Formulas (provided by Mathematics Formula Sheet)

d = rt


Formulas (NOT provided by Mathematics Formula Sheet)

r = d ÷ t

t = d ÷ r


Question

A car traveled at a speed of 55 miles per hour for 9 hours.
What distance did it travel?

Answer
495 miles

Answer Process
r = 55 miles per hour
t = 9 hours
d = rt
d = 55 × 9 = 495

Calculator Click What You See Comment
clear blinker clears screen
55 × 9 55*9 d = rt
enter 495 Answer
Distance


Question
A car traveled 715 miles in 11 hours.
What was the car’s speed in miles per hour?

Answer
65 miles per hour

Answer Process
d = 715 miles
t = 11 hours
r = d ÷ t
r = 715 ÷ 11 = 65

Calculator Click What You See Comment
clear blinker clears screen
715 ÷ 11 715÷11 r = d ÷ t
enter 65 Answer
Distance: Rate


Question
A car traveled 980 miles at a speed of 70 miles per hour.
How much time elapsed?

Answer
14 hours

Answer Process
d = 980 miles
r = 70 miles per hour
t = d ÷ r
t = 980 ÷ 70 = 14

Calculator Click What You See Comment
clear blinker clears screen
980 ÷ 70 980÷70 t = d ÷ r
enter 14 Answer
Distance: Time


Practice – Questions

1.  A car traveled at a speed of 75 kilometers per hour for 11 hours.
What distance did it travel?

2.  A rocket traveled at a speed of 17555 miles per hour for 24 hours.
What distance did it travel?

3.  A car traveled 1120 kilometers in 14 hours.
What was the car’s speed in kilometers per hour?

4.  A rocket traveled 669600 miles in 36 hours.
What was the rocket’s speed in miles per hour?

5.  A car traveled 650 miles at a speed of 50 miles per hour.  How much time elapsed?


Practice – Answers
1.  825 kilometers

2.  421320 miles

3.  80 kilometers per hour

4.  18600 miles per hour

5.  13 hours

This entry was posted in (4) Algebra, (III) Mathematical Reasoning and tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

Leave a Reply