A train and a bus leave at 10:00 AM from towns 45 miles apart, headed toward each other. The bus travels at 40 miles per hour while the train travels at 50 miles per hour. What time do they meet?

10:30 AM

Step-by-step explanation:

Their closure speed is the sum of their speeds, so is 40+50=90 mph. They cover the 45 mile distance in ...

time = distance/speed = 45 mi / (90 mi/h) = 1/2 h

A half-hour after 10 AM is 10:30 AM.

10:30am

Step-by-step explanation:

Time of departure: 10:00am

Distance: 45 miles apart

Speed of Train: 50mph or 5/6 mile per minute

Speed of Bus: 40mph or 4/6 mile per minute.

4/6mile + 5/6mile = 9/6mile or 1.5mile

Every minute = 1.5 mile.

45/1.5 = 30 minute

Time of depature + 30mins = 10:30am