Question

Superman can fly at speeds almost equal to $2.6\times {10}^6$ m/s. A supersonic jet on the planet Krypton can fly at a maximum speed of 260000 m/s. Choose the correct option(s).

• A. Superman is faster than the jet.
• B. Superman's speed is 10 times the speed of the jet.
• C. The jet is faster than Superman.
• D. Jet's speed is 10 times the speed of Superman.

Answer 1

Answer: (A), (B)

The correct options are
A Superman is faster than the jet.
B Superman's speed is 10 times the speed of the jet.

$\text{Speed of Superman}=2.6\times {10}^6\text{m/s}$
$\text{Speed of the jet}=260000\text{m/s}=2.6\times {10}^5\text{m/s}$

$\frac{\text{Speed of Superman}}{\text{Speed of the jet}}=\frac{2.6\times {10}^6}{2.6\times {10}^5}=1\times 10=10(\because \frac{a^m}{a^n}=a^{m-n})$
Thus, the speed of Superman is greater than that of the jet, and is infact 10 times the speed of the jet.