Question

Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.

Answer 1

Given :-

• Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h.
• Team B includes two gardeners, either of whom could weed the garden in 3 h.

To Find :-

• Which team will finish first ?

Solution :-

Team A :-

→ one garden alone can weed the garden in = 2h.

→ his per hour Efficiency = (1/2) .

And, Similarly,

→ Efficiency of Second Gardener = (1/4) .

So,

→ Efficiency of Both Gardeners = (1/4) + (1/2) = (1+2)/4 = (3/4) .

So, They will Complete whole work in (4/3) hours.

______________________

Team B :-

→ Each gardener Took Time = 3 hours.

→ Efficiency of Each gardener = (1/3) .

→ Efficiency of Both gardener = 2 * (1/3) = (2/3).

So, They will Complete whole work in (3/2) hours.

______________________

Now, we can See That, Team A is Taking Less Time in Complete the whole work .

As , (3/2) > (4/3) .

Hence, we can say That, Team A will Finish first.

Answer 2

Step-by-step explanation:

Given -

• Two identical gardens are to be weeded, each by a two-person team.
• Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h.
• Team B includes two gardeners, either of whom could weed the garden in 3 h.

To Find -

Which team will finish first ?

Now,

In Team A :-

One Gardener can weed the garden in 2 h

His per hour efficiency is 1/2

Similarly,

Another Gardener can weed the garden in 4 h

His per hour efficiency is 1/4

Efficiency of Both Gardeners is

= 1/2 + 1/4

= 2 + 1/4

• = 3/4

So,

They will complete their whole work in 4/3 h

And

In Team B :-

Both Gardener can weed the garden in 3 h

Then,

Efficiency of Each Gardener is 1/3

Efficiency of Both Gardeners is

= 1/3 + 1/3

• = 2/3

So,

They will complete their whole work in 3/2 h

As, 3/2 > 4/3

Hence,

Team A will complete their work first.