Free Practice Question
PS · Problem Solving
555-605
Work Rate Problems
If Susan can finish a task in 10 hours and Tom can do it in 16 hours, how long will it take Tom to finish the task alone after they both work together for 4 hours, at which point Susan leaves?
Answer Choices
Correct answer marked belowA
5 hours
B
6 hours
5 hours and 36 minutes
Correct
D
6 hours and 20 minutes
E
6 hours and 30 minutes
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
Let's assume the task requires 160 units of work. Susan completes 16 units of work per hour, while Tom completes 10 units per hour. Together, they accomplish 16 + 10 = 26 units of work per hour. In 4 hours, they will finish 4 * 26 =…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
1
Sign in to join the discussion
P
PrakharNov 3, 2024
good question
What this question tests
What it tests
Your ability to combine individual work rates, usually by working with the fraction of a job completed per unit of time.
Common trap
Adding the times instead of the rates, or forgetting to take the reciprocal when combining rates.
Details
Difficulty
555-605
Type
PS
Category