SOLUTION: Lou leaves for a cross country excursion on a bicycle travelling at 20 miles per hour. His friends are driving the trip and will meet him at several rest stops along the way. The

Question 921571: Lou leaves for a cross country excursion on a bicycle travelling at 20 miles per hour. His friends are driving the trip and will meet him at several rest stops along the way. The first stop is scheduled 30 miles from the original starting point. If people driving leave 15 minutes after Lou from the same place, how fast will they have to drive to reach the first rest stop at the same time as Lou?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Let r be the car's speed.

___________________speeds_________time_________distance
BIKE________________20____________t_____________30
CAR__________________r___________t-1/4__________30

Be sure you understand the data table. Expect that because the car should be moving faster than the bicycle. The car needs quarter of an hour LESS time than the bicycle because the car travels faster.

You will first use the BIKE data to solve for t.
Then use the solution for t to solve for r.
Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!

Lou leaves for a cross country excursion on a bicycle travelling at 20 miles per hour. His friends are driving the trip and will meet him at several rest stops along the way. The first stop is scheduled 30 miles from the original starting point. If people driving leave 15 minutes after Lou from the same place, how fast will they have to drive to reach the first rest stop at the same time as Lou?

Time it�ll take Lou to get to 1st stop: , or 1.5 hours
Time it�ll take the friends to get to 1st stop: 1.5 - .25 (15 minutes), or 1.25 hours
Speed the friends need to travel at: , or mph
RELATED QUESTIONS
Lou leaves for a cross-country excursion traveling on a bicycle at 21 miles per hour. His (answered by macston)
Lou leaves a rest stop on bicycle traveling 20 miles per hour. his friends leave the same (answered by jorel1380)
On a 135 mile bicycle excursion, Maria averaged 5 miles per hour slower during the last... (answered by solver91311)
Jim Williamson began a 96-mile bicycle trip to build up stamina for a triathlete... (answered by josmiceli)
Candice Leaves on a road trip driving at 25 miles per hour . Four hours later , her... (answered by josmiceli)
On a cross country trip, the anderson family planned to average 500 miles and 10 hours of (answered by Alan3354)
Phil leaves Northampton and walks north for an hour and a half. Don leaves Northampton... (answered by ikleyn,math_tutor2020)
Jason drove for 4 hours on the freeway at the start of his trip. Then he turned onto a... (answered by ikleyn)
Jeff leaves home on his bicycle and rides out into the country for 3 hours. On his return (answered by ankor@dixie-net.com)