A bird of species A, when diving, can travel six times as fast as a bird of species B top speed. If the total speeds for these two birds is 238 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B. The fastest speed of the bird of species B ismph. The fastest speed of the bird of species A is mph.
Unitary Method
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Speed, Time, and Distance
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Profit and Loss
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Units and Measurements
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![**Problem Statement: Bird Diving Speeds**
A bird of species A, when diving, can travel six times as fast as a bird of species B at top speed. If the total speeds for these two birds is 238 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.
- The fastest speed of the bird of species B is [ ] mph.
- The fastest speed of the bird of species A is [ ] mph.
*Instructions: Enter your answer in each of the answer boxes.*
**Explanation:**
This problem can be solved algebraically. Let’s assume:
- \( x \) is the speed of the bird of species B in mph.
- \( 6x \) is the speed of the bird of species A in mph (since it travels six times as fast).
The equation based on the total speed is:
\[ x + 6x = 238 \]
*This equation can be solved to find the values of \( x \) and \( 6x \), which are the required speeds of the birds of species B and A respectively.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb04d45c1-0503-4abe-ad32-81b11e875faf%2F2c071cdd-741e-4e3b-b265-66a65bea6b9c%2Fb1wvn08_processed.jpeg&w=3840&q=75)
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