Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​Answered Questions

Deliver the pastries

10/20/2020

0 Comments

 
Kevin leaves his bakery at 6.50 am to deliver some pastries to a hotel. If he drives at a constant speed of 80km/h, He will reach the hotel on time. If he drives at a constant speed of 64km/h, he will be 10mins late. At what time is Kevin supposed to deliver the pastries to the hotel?

distance = rate x time

at 80 km/hr
d = 80t

at 64 km/hr
d = 64(t + 1/6)   {time plus 10 minutes or 1/6 of an hour}


80t = 64(t + 1/6)   {the distances are equal}
80t = 64t + 32/3   {used distributive property}
16t = 32/3   {subtracted 64t from each side}
t = 2/3   {divided each side by 16}
2/3 of an hour is 40 minutes

Add 40 minutes onto 6:50 am

He is supposed to arrive at 7:30 

Ask the House
Leave a Tip
0 Comments

Your comment will be posted after it is approved.


Leave a Reply.

    Ask a Question
    Leave a Tip

    Archives

    February 2021
    January 2021
    December 2020
    November 2020
    October 2020
    September 2020
    August 2020

Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip