Question

A alone takes as much time as B and C together to complete a piece of work. If A and B together take 50 days to complete, then:

a) A alone can complete the work in 100 days.

b) B alone can complete the work in 25 days.

c) C alone can complete the work in 25 days.

d) A, B, and C together can complete the work in 33.3 days.

Answer 1

A alone can complete the work in 100 days. B alone can complete the work in 25 days. C alone can complete the work in 25 days. A, B, and C together cannot complete the work in 33.3 days.

Step-by-step explanation:

To solve this problem, we need to set up equations based on the given information.

Let's assume that the amount of work that A can complete in 1 day is x.

According to the problem, A alone takes as much time as B and C together to complete the work. So, the amount of work that B and C can complete together in 1 day is also x.

The problem also states that A and B together can complete the work in 50 days. So, the combined work that they can complete in 1 day is 1/50.

Now, we can set up the following equation:

x + x = 1/50

Simplifying, we get:

2x = 1/50

x = 1/100

• a) A alone can complete the work in 100 days. This statement is true.
• b) B alone can complete the work in 25 days. This statement is false.
• c) C alone can complete the work in 25 days. This statement is false.
• d) A, B, and C together can complete the work in 33.3 days. This statement is false.