It is known that Brianna worked twice as long as Tyrese, and that Jamal worked four hours longer than Tyrese. If the three worked a total of 64 hours, how long did each work?
Answers
Step-by-step explanation:
Given :-
It is known that Brianna worked twice as long as Tyrese, and that Jamal worked four hours longer than Tyrese. And the three worked a total of 64 hours.
To find :-
How long did each work?
Solution :-
Let the wokring hours taken by Tyrese be X
The working hours taken by Jamal
= Working hours of Tyrese + 4 hours
= (X+4) hours
The working hours taken by Brianna
= Twice the working hours of Tyrese
= 2X hours
Total working hours takne by them
= [X + (X+4) + (2X) ] hours
=[ (X +X+2X)+4] hours
= (4X+4) hours
According to the given problem
Total working hours worked by them = 64 hours
=> 4X + 4 = 64
=> 4X = 64 - 4
=> 4X = 60
=> X = 60/4
=> X = 15 hours
So, X+4 = 15+4 = 19 hours
2X = 2×15 = 30 hours
Answer:-
Brianna worked 30 hours
Jamal worked 19 hours
Tyrese worked 15 hours
Check:-
Total working hours = 30+19+15 = 64 hours
Verified the given relation in the given problem.