Carcass wrote:
If Carol can finish a job in 5 hours and Steve can finish the same job in 10 hours, how many minutes will it take both of them together to finish the job?
A. 160
B. 180
C. 200
D. 210
E. 220
Kudos for the right answer and explanation
GIVEN:
Carol can finish a job in 5 hours
Steve can finish the same job in 10 hours
A useful approach is to assign a
"nice" value to the job.
We want a value that works well with the given information (5 hours and 10 hours).
So, let's say the entire job requires
10 tasks
This means Carol can complete
10 tasks in 5 hours. So, Carol's RATE =
2 tasks per hour
Similarly, Steve can complete
10 tasks in 10 hours. So, Steve's RATE =
1 tasks per hour
So their, COMBINED rate =
2 +
1 =
3 tasks per hour
How many minutes will it take both of them together to finish the job?Time = output/rate
So, time =
10/
3 = 10/3 HOURS
10/3 HOURS = (10/3)(60) MINUTES
= 200 MINUTES
Answer: C
Cheers,
Brent