Answer :
In this question, Al drives from York toward Benton and Ben drives from Benton toward York. That means both Al and Ben will reduce the distance between them. In this case, you need to add their velocity. The total velocity should be 45mph+55mph= 100mph
The distance will be shortened by 100mile/hour and the distance is 210 miles. Then the time should be:
time=distance/total velocity =210m/100mph= 2.1 hours
The distance will be shortened by 100mile/hour and the distance is 210 miles. Then the time should be:
time=distance/total velocity =210m/100mph= 2.1 hours
Final answer:
Al and Ben, driving towards each other from locations 210 miles apart at speeds of 45 mph and 55 mph respectively, will meet after 2.1 hours.
Explanation:
The question involves Al and Ben driving towards each other from York to Benton, a distance of 210 miles, at speeds of 45 mph and 55 mph, respectively. To find how long it will take for them to meet, we can use the concept that when two objects move towards each other, their relative speed is the sum of their speeds.
The combined speed of Al and Ben is 45 mph + 55 mph = 100 mph. Given the distance between them is 210 miles, the time it takes for them to meet can be calculated using the formula: Time = Distance / Speed.
Therefore, Time = 210 miles / 100 mph = 2.1 hours.
Al and Ben will meet after 2.1 hours of driving towards each other.