Train X leaves New York at 10.00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11.30AM and travels East along the same tracks at speed $4x3 then at what time will Train Y catch Train X?$

Question

Train X leaves New York at 10.00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11.30AM and travels East along the same tracks at speed <math xmlns="http://www.w3.org/1998/Math/MathML">4x3 then at what time will Train Y catch Train X?

Satt Academy · Accepted Answer

Here, relative speed of Y in terms of X =4x3-x=4x-3x3=x3 mph. X will cover in (11.30 - 10) = 1.5 hours = ( x × 1.5) miles = 1.5x miles ∴Required time taken by Y to catch X= 1.5x x3=1.5x×3x=4.5x hours ∴Y will meet X at =11.30 am +4.5 hour = 4 pm Alternative: Given that, X' s speed is = x mph ∴Y's speed is =4x3 mph Let, X and Y will meet after p hours According to questions,

Train X leaves New York at 10.00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11.30AM and travels East along the same tracks at speed $\frac{4 x}{3}$ then at what time will Train Y catch Train X?
(Train)

Question:
Train X leaves New York at 10.00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11.30AM and travels East along the same tracks at speed $\frac{4 x}{3}$ then at what time will Train Y catch Train X?
(Train)

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Hi, আমি SATT AI!

Train X leaves New York at 10.00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11.30AM and travels East along the same tracks at speed 4x3 then at what time will Train Y catch Train X? (Train)

Question: Train X leaves New York at 10.00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11.30AM and travels East along the same tracks at speed 4x3 then at what time will Train Y catch Train X? (Train)

গণিত

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1 . দুইটি সংখ্যার গ. সা. গু ২১ এবং ল. সা. গু ৪৬৪১। একটি সংখ্যা ২০০ ও ৩০০ এর মধ্যবর্তী; | অপরটি কত?

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Satt AI

Hi, আমি SATT AI!

Train X leaves New York at 10.00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11.30AM and travels East along the same tracks at speed $\frac{4 x}{3}$ then at what time will Train Y catch Train X?
(Train)

Question:
Train X leaves New York at 10.00 AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11.30AM and travels East along the same tracks at speed $\frac{4 x}{3}$ then at what time will Train Y catch Train X?
(Train)