Rate Time = Distance

By,Tracy and Co.

Finding the rate of a moving object can be done when given 2 out of 3 statistics; just like in regular “solve For X” problems. As the only hard part is putting the numbers in the right place, this type of math is used all over The world, sometimes when someone in a profession uses it so often it can be done in their head. This kind of math Is used in all kinds of occupations.

There are 5 types of rate problems

1. Going to the same place in same direction2. Going somewhere and returning3. Total distance in going different directions4. Coming together from 2 different places5. Same direction with different speeds

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Same place,

Same direction

Can be used to catch up

With car chases by

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Going some place and Returning.Can be used by AmtrakWhen making schedules For trains. Also byPilots and conductors estimating Time of arrival when running late.

R T =

R

Item 1

ITEM 2

FOR

Put the rates in the rate column and the time in the time column. If there is Not one of those write X. Multiply to make the distance. Then set item 1 and 2 equal to each other.Then solve for your variable. Put final answer in a Complete sentence explaining what was asked.

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Example Question:

Slow Speed Sheila forgot her briefcase at work and Fast Driving Fred is trying to catch up to her. Slow Speed Sheila drives at 60 miles per hour and Fast Driving Fred drives at 80 miles per Hour. If he leaves the office 15 minutes after she left, how long Will it take Fred to catch up to Sheila?

Ex.

60x = 80x – 1200 add 1200 to both sides and subtract 60x from each side

1200 = 20x divide by 20

X = 60

X – 15 = 40

It takes Fred 45 minutes to get to S.

Total distance given,when goingIn opposite directions

Not used often,however,CAN be used in Air Force Drills.Firing a weapon from an Airplane and having to outrunThe shock (this also includes other math though)

And

Coming to meet in the middle

Used by the Navy and Air force on Aircraft carriers to calculate when an airplane can land

Two bicyclists start towards each other from towns that are 31.8 miles apart. If one bicyclist Travels 5.2 miles per hour and the other travels 5.4 miles per hour, how long will it take Them to meet?

10.6X = 31.8 add B1 and B2 togetherAnd set them equal to 31.8 as it saysIn the problemX=3 Solve for X

It will take 3 hours for them to meet

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Going the same place except at different rates

Can be used to estimate average rate in Bicycle races. Can alsoBe used to measure rate in Street races (if anyone actually bothers)

Example:Two twins, Hyper Henry and Mellow Marsha work at the same place. But like to drive Separately. Mellow Marsha travels 50 miles per hour, and Hyper Henry travels 70Miles per hour. If they both start from the same place at the same time and travel inThe same direction, after how many hours will they be 40 miles apart?

70X – 50X= Subtract the lesserfrom the larger

20X=40 solve for XX=2

It will take 2 hours before they are 40 miles apart.