If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Algebra 1

Course: Algebra 1 > Unit 6

Lesson 6: Systems of equations word problems
Math
Algebra 1
Systems of equations
Systems of equations word problems
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Systems of equations word problems

Google Classroom
You might need: Calculator

Problem

Malcolm and Ravi raced each other.
The average of their maximum speeds was 260, start text, space, k, m, slash, h, end text. If doubled, Malcolm's maximum speed would be 80, start text, space, k, m, slash, h, end text more than Ravi's maximum speed.
What were Malcolm's and Ravi's maximum speeds?
Malcolm's maximum speed was
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, k, m, slash, h, end text and Ravi's maximum speed was
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, k, m, slash, h, end text.
Stuck?
Stuck?