awn, Keith, and John are all working on a history project. Dawn spent 1.5 hours less than 6 times as many hours on the project as John did. Keith spent 0.8 hours more than 5 times as many hours on the project as John did. If Dawn and Keith spent the same amount of time working on the project, how many hours did John spend working on the project?

Question

awn, Keith, and John are all working on a history project. Dawn spent 1.5 hours less than 6 times as many hours on the project as John did. Keith spent 0.8 hours more than 5 times as many hours on the project as John did. If Dawn and Keith spent the same amount of time working on the project, how many hours did John spend working on the project?

A: there is not enough information
B: 4
C: 0.7
D: 2.3

Answer 1

Let the number of hours John spent on the project be x.

Dawn spent 6x - 1.5 hours on the project.
Keith spent 5x + 0.8 hours on the project.
Since Dawn and Keith spent the same amount of time working on the project:
6x - 1.5 = 5x + 0.8
Simplifying the equation, we get:
x = 2.3
The answer is D: 2.3