SOLUTION: 27) A train travels 150 km in the same time that a plane covers 400 km. If the speed of the plane is 20 km per hr less than 3 times the speed of the train, find both speeds.
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Question 214693This question is from textbook
: 27) A train travels 150 km in the same time that a plane covers 400 km. If the speed of the plane is 20 km per hr less than 3 times the speed of the train, find both speeds. This question is from textbook
You can put this solution on YOUR website! A train travels 150 km in the same time that a plane covers 400 km. If the speed of the plane is 20 km per hr less than 3 times the speed of the train, find both speeds.
Step 1. Let s be the speed of train and let p be the speed of the plane.
Step 2. Speed = distance/time or time = distance/speed
Step 3. 150/s is the time traveled by the train and 400/p is the time traveled by the plane. Set the times of the train and plane to be equal as given.
Step 4. p=3s-20 where the speed of the plane is 20 km per hr less than 3 times the speed of the train.
Step 5. Substitute p in Step 3 into Step 4.
Multiply 3 to both sides of the equation
Add 60-8s to both sides of equation
Step 6. ANSWER: The speed of the train is 60 km/hr and the speed of the plane is 160 km/hr.
I hope the above steps were helpful.
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