Lori starts jogging at 5mph. One half hr later, debbie starts jogging on the same route at 7mph. How long will it take for Debbie to catch Lori?

Question

please solve with steps

Answer 1

It will take Debbie 1.25 hours to catch Lori.

 

After Lori runs half hour, she is 2.5 miles ahead of Debbie, so Lori's position can be expressed as 5t+2.5. Debbie's position is 7t. Setting these two equations equal to each other and solving for t, 7t=5t+2.5, t=1.25 hours.