SOLUTION: An airplane flies 235 miles with a constant speed of 564 mph and another 225 miles with a constant speed of 540 mph. How much time in total does it take to travel these distances?

Question 1128381: An airplane flies 235 miles with a constant speed of 564 mph and another 225 miles with a constant speed of 540 mph. How much time in total does it take to travel these distances?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
, in hours

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Ratio of distance to time, is speed.
D, distance; unit may be miles;
T, time; unit may be hours
R, "speed"

, and the uni for R could be MILES per HOUR.

A couple of simple algebra steps:

, a formula for time.

Look at the problem description. Two different distances as part of a trip, and each distance at a different speed.

| flies 235 miles with a constant speed of 564 mph |
The amount of time for this was .

| and another 225 miles with a constant speed of 540 mph. |
This portion amount of time was .

The total amount of time was the sum:

, in hours;
The rest is basic arithmetic.

Factorizing numerator and denominators completely:

Reduce EAch of them:

Change into minutes:

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