Select the correct answerA can finish a work in 18 days and B can the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?Options01/Sep01/Jun02/May2/Jul
Question
Select the correct answerA can finish a work in 18 days and B can the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?Options01/Sep01/Jun02/May2/Jul
Solution
The problem is a work rate problem. Here's how you can solve it:
Step 1: Identify the individual work rates.
- A can finish the work in 18 days. So, A's work rate is 1/18 work/day.
- B can finish the work in half the time taken by A, which means B takes 18/2 = 9 days. So, B's work rate is 1/9 work/day.
Step 2: Add the individual work rates to get their combined work rate.
- The combined work rate of A and B is 1/18 + 1/9 = 1/18 + 2/18 = 3/18 = 1/6 work/day.
So, working together, A and B can finish 1/6 of the work in a day. Therefore, the correct answer is 01/Jun.
Similar Questions
A is twice as good as B and together they can finish the work in 18 days. In how many days A will finish the same work?
Select the correct answerAmit can complete a piece of work in 16 days. Rohit can complete the same piece of work in 8 days. If both of them work together in how many days can they complete the same piece of work?Options4 2/5 days6 days12 days5 1/3days
Select the correct answerA, B and C can do a work in 20 days, 24 days and 30 days respectively. A and B left the work 4 days before completion of the work, then whole work will finish in how many days?Options10 14/1511 8/159 2/312 7/15
A can do a work in 15 days and B in 20 days. In how many days will they work together to finish the work
Select the correct answerA and B together can finish a work in 6.75 days. A alone can finish the same work in 9 days. In how many days will B alone finish the work?Options27 days18 days35 days36 days
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.