Fran and Lamar are walking they walk 5 kilometers frans starts walking at 45 meter per minute Lamar starts 5 minutes later at 50 meters per minute how many minutes will lamar catch up to fran how far will they have walk

The time Lamar will catch up to Fran is 50.26 mins and they would have walked 2.5 km each.

Step-by-step explanation:

Given;

total distance walked by both Fran and Lamar, d = 5 km = 5,000 m

speed of Fran, = 45 m/min

speed of Lamar, = 50 m/min

Let the time Lamar catch up to Fran = t (mins)

At the time "t" Lamar would have walked a distance of 50(t),

At the time "t" Fran would have walked a distance of 45(t + 5)

The total distance they walked; d = 50t  +  45(t + 5)

5000 = 50t  +  45(t + 5)

5000 = 50t  + 45t + 225

5000 - 225 = 95t

4775 = 95t

t = 4775/95

t = 50.26 mins

The distance walked by Frans: = 45 (50.26 + 5)

                                                    = 2487 m

The distance walked by Lamar: = 50 (50.26)

                                                    = 2513 m