Paulo ran a marathon in about 1.56 x 10^4 s.

Question

(a) Write Paulos time in standard notation.

(B) miguel ran a marathon in 4h and 6min. Who ran the race in the shorter amount of time? Show your work

Answer:

Answer 1

(A) To convert Paulo's time from scientific notation to standard notation:

\[ 1.56 \times 10^4 \text{ s} = 1.56 \times 10000 = 15600 \text{ s}. \]

So, Paulo's time in standard notation is 15,600 seconds.

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(B) Next, we need to convert Miguel's marathon time of 4 hours and 6 minutes into seconds to compare it with Paulo’s time.

1. Convert hours to seconds: \[ 4 \text{ hours} = 4 \times 3600 \text{ seconds} = 14400 \text{ seconds} \]

2. Convert minutes to seconds: \[ 6 \text{ minutes} = 6 \times 60 \text{ seconds} = 360 \text{ seconds} \]

3. Add both conversions together: \[ \text{Total time for Miguel} = 14400 \text{ seconds} + 360 \text{ seconds} = 14760 \text{ seconds} \]

Now we can compare both times:

• Paulo: 15,600 seconds
• Miguel: 14,760 seconds

Since 14,760 seconds (Miguel) is less than 15,600 seconds (Paulo), Miguel ran the race in the shorter amount of time.

Final Answer: Miguel ran the race in a shorter amount of time than Paulo.