Measurement

Middle School Level Questions on Rate and Time
from the Dr. Math Archives

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Middle School Dr. Math Questions on Measurement
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Below are some questions and answers from our archive of questions sent via e-mail by K12 students and teachers to Ask Dr. Math. You may also browse the entire middle school level archive by category.

 Distance, Rate, and Time

Average Speed on a Race Track Circuit
Given the distance (4.260 km) and time (1.15.989 min/sec), how do you use the d/t=average speed formula?
A Billion Seconds
If I was born on 01/02/84, when will I have been alive for a billion seconds?
Conversions
Nancy ran a distance of 3.8km in 55 min. Calculate her speed in kilometers per hour and metres per second.
Converting Time
I have a clock that is "measured by 100", meaning 25=15 minutes, 50=30 minutes, etc. How do I convert this into "real time"?
Define Warp in Lightyears
On Voyager, the new Star Trek show, they are 75 years from home. Their top speed is Warp 9.75. Can you define "Warp" in lightyears?
Defining Distance Mathematically
What is wrong with D' = sqrt(X^2 - X'2)?
Distance/Time
Bernice is cycling around a track at 15 mph. Betty starts at the same time, but only goes 12 mph. How many minutes after they start will Bernice pass Betty if the track is 1/2 mile long?
Distance, Rate and Time
Ian travelled by train at 80km/h and then by car at 90 km/h. It took him 3 hours to travel the total distance of 265km. How far did he travel during each phase of his journey, and how long did each phase take?
Distance, Rate, and Time Problems
Liza and Tamar leave the same camp and run in opposite directions. Liza runs 2m/s and Tamar runs 3m/s. How far apart are they after 1 hour?
Earth's Rotational Speed
Should the earth's rotational speed be referred to in revolutions per... or in miles per hour?
How Fast is a Knot?
Ships travel in knots (which is a speed). How fast is a knot?
Minimum Distance
Inside a rectangular room a spider is at a point on the middle of one of the end walls and a fly is on the opposite wall. What is the shortest distance the spider must crawl to reach the fly?
Nanoseconds in a Year
How many nanoseconds are there in one year?
Speed, Distance, and Time
If you drive one mile in 45 seconds, how fast are you driving?
Statute Miles and Nautical Miles
What's the difference between statute miles and nautical miles, and why do they use statute miles for space shuttle launches?
Train and Tunnel
A train passes completely through a tunnel in 5 minutes. A second train, twice as long, passes through the tunnel in 6 minutes...
Train Speed, Wind, and Smoke
An electric train is climbing a hill at 45 kph...
Where would the Two Trains Meet?
If a train left Baltimore at 6:00 pm and travels at 19 m.p.h. and another train left Philadelphia travelling at 85 mph in the opposite direction, where would they meet?
Solving for Time
You are traveling 55 mph over a bridge that is 4260 ft. long. How long does it take to cross the bridge?
What is the Speed of the Truck?
A storm is 50 miles offshore and its path is perpendicular to a straight shoreline. It is approaching the shore at a rate of 4mph....
Time, Speed, Distance, and Unit Conversion
If a car moves at 44 mph for 50 minutes, how many kilometers does it travel?
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Mara Landers

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