Q:

BRAINLIEST AND 20 POINTS FOR CORRECT ANSWER WITH EXPLAINATION!Two trains left the cities A and B at the same time and headed towards each other. The cities are s miles apart. The first train was traveling at the speed of v1 mph. The second train was traveling at the speed of v2 mph. After t hours the two trains met each other. Find the formula for t in terms of s,v1 and v2. Then find the value of t if: s=310, v1 = 75, v2 = 80

Accepted Solution

A:
The formula for t=s/(v₁+vβ‚‚), and the value of t is 2 hours.Step-by-step explanation:The question is on relative speed.For the two trains moving towards each other , the relative speed is the sum of their speeds.Distance between the cities= s milesTrain 1 : speed is v₁ mphTrain 2: speed is vβ‚‚ mphTime of meeting= tApplying formula for speed, speed =distance/timeTime of meeting= Distance/relative speedt=s/(v₁+vβ‚‚)Given s=310, v₁=75 and vβ‚‚=80, then finding tt=310/(75+80)t=310/155 = 2 hrsLearn MoreRelative Speed : : speed#LearnwithBrainly