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.