Question

A hummingbird needs 10 grams of sugar and 8 grams of protein each day. one honeysuckle flower provides 20 mg of sugar and 10 mg of protein. one nasturtium flower provides 10 mg of sugar and 10 mg of protein. it takes 20 seconds to feed from a nasturtium and 15 seconds per honeysuckle. how many minutes does it take to get exactly the food it needs? (1 gram equals 1000 mg.)

Answer 1

If a hummingbirds diet is composed mainly of honeysuckle nectar, it would require 10g/0.020g * 15 seconds for sugar = 2.08 hours = 124.8 minutes

8g/0.010g * 15 for protein = 3.3 hours = 216 minutes

 

If a hummingbirds diet is composed mainly of nasturtium nectar, it would require 10g/0.010g * 20 seconds for sugar = 5.5 hours = 330 minutes

8g/0.010g * 20 for protein = 4.4 hours = 264 minutes

Answer 2

The hummingbird takes $\boxed{50\,\min }$ on honeysuckle flowers and $\boxed{200\,\min }$ on nasturtium flowers.

Explanation:

Given:

The amount of sugar needed by the hummingbird is $10\,{\text{gm}}$ .

The amount of protein needed by the hummingbird is $8\,{\text{gm}}$ .

The sugar given by the honeysuckle flower is $20\,{\text{mg}}$  or $0.02\,{\text{g}}$ .

The protein given by the honeysuckle flower is $10\,{\text{mg}}$ or $0.01\,{\text{g}}$ .

The sugar given by the nasturtium flower is $10\,{\text{mg}}$ or $0.01\,{\text{g}}$ .

The protein given by the nasturtium flower is $10\,{\text{mg}}$ or $0.01\,{\text{g}}$ .

The time taken by the hummingbird to feed on a nasturtium flower is $20\,{\text{s}}$ .

The time taken by the hummingbird to feed on a honeysuckle flower is $15\,{\text{s}}$ .

Concept:

Let the hummingbird sits on   honeysuckle flower and   nasturtium flowers.

The total amount of sugar consumed by the hummingbird can be represented as:

$0.02x + 0.01y = 10$                 ......(1)

The total amount of protein consumed by the hummingbird can be represented as:

$0.01x + 0.01y = 8$            ......(2)

Subtract equation (2) from (1) to get the value of  $x$.

$\begin{aligned}0.01x &= 2\hfill \\x &= 200 \hfill\\\end{aligned}$

Substitute $200$ for $x$ in equation (2).

$\begin{aligned}0.01 \times \left( {200} \right) + 0.01y &= 8\hfill\\y&= \frac{6}{{0.01}} \hfill\\y&= 600 \hfill\\\end{aligned}$

Therefore, the humming birds visits at $200$ honeysuckle and  $600$ nasturtium flowers.

So, the time taken by the hummingbird on honeysuckle flowers is:

$\begin{aligned}{t_1} &= 200 \times 15\,{\text{s}}\\&= {\text{3000}}\,{\text{s}}\\&= 5{\text{0}}\,{\text{min}}\\\end{aligned}$

Time taken by the hummingbird on nasturtium flowers is:

$\begin{aligned}{t_2} &= 600 \times 20\,{\text{s}}\\&= 12000\,{\text{s}}\\&= 200\,\min\\\end{aligned}$

Thus, the hummingbird takes $\boxed{50\,\min }$ on honeysuckle flowers and $\boxed{200\,\min }$ on nasturtium flowers.

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Units and conversion

Keywords:  Hummingbird, nasturtium flower, honeysuckle flower, sugar, protein, 20mg of sugar, 10 mg of protein, 200 flowers, minutes does it take.