Evaluate distance traveled by train:
A plane flying at 525 miles per hour completes a trip in 2 hours less than another plane flying at 350 miles per hour. What is the distance travelled?
Solution:
Step 1. Let x = Distance Traveled (in miles)
Step 2. Then, using Equation 14,
x/525 = Time Taken by Faster Plane (in hours)
x/350 = Time Taken by slower Plane (in hours)
Step 3. Time Taken by Faster Plane = Time Taken by Slower Plane - 2 hours
x/ 525 hours = x/350 hours -2 hours
x/525 = x/ 350 -700/350
x/525 = x-700/ 350
(350)(525) (x/525) = (x - 700/ 350) (350)(525)
350x = 525. (x - 700)
350x = 525x - 367,500
350x - 525x = -367,500
-175x = -367,5000
-175x /-175 = -367,500/-175
x = 2100 miles
Solving for the other unknowns:
x/525 = Time Taken by faster plane (in hours)
x/525 = 2100/525
x/525 = 4 hours
x/350 = time Taken by slower Plane (in hours)
x/350 = 2100/350
x/350 = 6 hours
Answers:
Distance Travelled = 2100 miles
Time Taken by Faster Plane = 4 hours
Time Taken by Slower Plane = 6 hours
Step 5. The faster plane takes 2 hours less to complete the trip than the slower plane.
6 hours - 2 hours = 4 hours
Thus, the answer checks.