SOLUTION: The transcontinental train travels from Colorado to Illinois at average speed of 100km/h. If the train had averaged 20km/h less, the trip would have taken 5h longer. How far is it

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Question 1145630: The transcontinental train travels from Colorado to Illinois at average speed of 100km/h. If the train had averaged 20km/h less, the trip would have taken 5h longer. How far is it by train from Colorado to Illinois?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52813)   (Show Source):
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Let "d" be the distance under the question. If travels with the average speed of 100 km/h, the travel time is hours. If travels with the average speed of 80 km/h, the travel time is hours. The difference is 5 hours - = 5 hours. It is your "time" equation. As soon as you get it, the setup is completed. To solve the equation, multiply both sides by 400. You will get 5d - 4d = 5*400 d = 2000 miles. ANSWER. The distance is 2000 miles. CHECK. = 20 hours. = 25 hours. The difference is 25 - 20 = 5 hours. ! Correct !

Solved.

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Using "time" equation is the STANDARD method of solving such problems.

From my post, learn on how to write, how to use and how to solve a "time" equation.

To see many other similar solved problems, look into the lessons
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in this site.

Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website!

SPEED TIME DISTANCE ACTUAL 100 d/100 d HYPOTHETICAL 80 d/80 d DIFFERENCE 5