Question Details

Alice can complete a digital artwork project in 15 days, while Bob can finish the same project in 30 days. They work together for 3 days before Alice leaves the project. In how many more days will Bob finish the remaining work alone?

Options

A

21 days

B

15 days

C

24 days

D

18 days

Show Answer

Correct Answer :

Option A

21 days

28 days

Solution :

The correct answer is 21 days.

Step 1: Determine individual work rates per day.
Let the total project work be equal to 1 unit.
Alice can complete the project in 15 days, so Alice's 1-day work rate is:
115
Bob can complete the project in 30 days, so Bob's 1-day work rate is:
130

Step 2: Find their combined 1-day work rate.
When Alice and Bob work together, the portion of work they complete in 1 day is:
115+130=2+130=330=110

Step 3: Calculate the work completed in 3 days.
Alice and Bob work together for 3 days, so the fraction of work completed is:
3×110=310

Step 4: Calculate the remaining work.
The fraction of the work left to be finished is:
1-310=710

Step 5: Calculate the time taken by Bob to finish the remaining work alone.
Bob works at a rate of 130 of the project per day. The number of days Bob requires to finish 710 of the work is:
Time=Remaining WorkBob's Work Rate=710130=710×30=21 days

Therefore, Bob will finish the remaining work alone in 21 days.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CTET
  • intermediate
  • No time limit
  • child development and pedagogy, mathematics, social science

  • SSC
  • intermediate
  • 2 hours and 30 mins
  • child development and pedagogy, mathematics, social science

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...