Ben starts walking along a path at 4 mph One and a half hour

Ben starts walking along a path at 4 mph. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 8.5 mph. How long will it be before Amanda catches up to Ben? You have attempted this problem 3 times. Request new version now. Your overall recorded score is 0%. You have unlimited attempts remaining.

Solution

Ben walks along a path at 4 mph. His sister Amanda starts jogging after one and a half hours on the same path at 8.5 mph . Let x be the number of hours, after Amanda starts, when Ben and Amanda meet. In x + 1.5 hrs, Ben would walk 4(x +1.5) = 4x +6 miles, and in x hours, Amanda would jogg a distance of 8.5x miles. Therefore, 4x +6 = 8.5x or, 8.5x - 4x = 6 or, 4.5 x = 6 so that x = 6/4.5 = 1.33 hrs ( on rounding off to the nearest hundredth).