7−42) Two cities X and Y are 650 miles apart, Train \#1 travels from City X to City Y at speed of 60 mile/hour. Train \#2 travels from City Y to City X at speed of 70 mile/hour. Train \#1 starts at 8:00 am from City X and Train \#2 starts at 10:00 am from City Y. What time will the two trains meet?
Q. 7−42) Two cities X and Y are 650 miles apart, Train \#1 travels from City X to City Y at speed of 60 mile/hour. Train \#2 travels from City Y to City X at speed of 70 mile/hour. Train \#1 starts at 8:00 am from City X and Train \#2 starts at 10:00 am from City Y. What time will the two trains meet?
Calculate Train #1 Distance: Calculate the distance Train #1 covers by the time Train #2 starts.Train #1 has a 2-hour head start, so distance = speed × time.Distance = 60 miles/hour ×2 hours = 120 miles.
Find Remaining Distance: Subtract the distance covered by Train #1 from the total distance to find the remaining distance.Remaining distance = 650miles−120miles=530miles.
Calculate Combined Speed: Calculate the combined speed of the two trains.Combined speed = speed of Train #1 + speed of Train #2 = 60 miles/hour + 70 miles/hour = 130 miles/hour.
Calculate Meeting Time: Calculate the time it takes for the trains to meet based on the remaining distance and combined speed.Time = remaining distance / combined speed = 130miles/hour530miles=4.07692307692hours.
Convert Time to Hours and Minutes: Convert the time from hours to hours and minutes.4 hours is 4 hours, and 0.07692307692 hours ∗60 minutes/hour =4.61538461538 minutes, which is approximately 5 minutes.
Determine Meeting Time: Add the time it takes for the trains to meet to the start time of Train \#2. Train \#2 starts at 10:00 am, so the meeting time is 10:00 am +4 hours and 5 minutes =2:05 pm.
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