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Chapter 7: Q. 7.102 (page 710)

Tracy can lay a slab of concrete in 3 hours, with Jordan鈥檚 help they can do it in 2 hours. If Jordan works alone, how long will it take?

Short Answer

Expert verified

If Jordan works alone then he will take 6 hours.

Step by step solution

01

Given information

The problem has the information of the work done by Tracy and Jordan.

02

Form the rational equation and solve

Use the given sentence to form the required rational equation.

  • As given, Tracy(T) takes 3 hours to work alone whereas Tracy (T) and Jordan(J) together take 2 hours.
  • Hence the equation is formed as 13+1J=12.............(1).
  • Now solve equation (1) to find the time taken by Jordan(J) alone.

13+1J=121J=12-13=3-26=16J=6

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