Question

Problem is in the attached image. Thanks in advance!

Answer 1

Answer: it will take 2.5 hours for both people to meet after person B leaves.

Step-by-step explanation:

The distance between the house of person A and his cousin's house is 234 miles.

At the point where they meet, they would have travelled 234 miles.

Person A travelled at an average speed of 44 miles per hour.

Let t represent the time spent by Person A in travelling from his house to the point where they meet.

Distance = speed × time

Distance covered by person A would be

44 × t = 44t

One and half hours later, person B leaves his house to visit person A, travelling at an average speed of 62 miles per hour. This means that total time spent by person B in travelling to the point where they meet is (t - 0.5) hours. Distance covered would be

62(t - 0.5) = 62t - 31

Since the total distance covered is 234 miles, then

44t + 62t - 31 = 234

106t = 234 + 31 = 265

t = 265/106 = 2.5 hours