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Faisal drives his car a distance of 40 km in half an hour, how many minutes will it take to drive 100 km?

Respuesta :

Answer:

75 minutes

Step-by-step explanation:

To calculate the time it will take for Faisal to drive 100 km, we can use a proportion based on the given information:

[tex]\sf \dfrac{Time \; 1}{Distance\;1}=\dfrac{Time\;2}{Distance\;2}[/tex]

Given:

  • Time 1 = 30 minutes (since half an hour is equal to 30 minutes)
  • Distance 1 = 40 km
  • Time 2 = Unknown (we need to find this)
  • Distance 2 = 100 km (the desired distance)

Substitute these values into the proportion:

[tex]\sf \dfrac{30\;min}{40\;km}=\dfrac{Time\;2}{100\;km}[/tex]

To find Time 2, we can multiply both sides by 100 km:

[tex]\sf \dfrac{30\;min}{40\;km}\times 100\;km=\dfrac{Time\;2}{100\;km} \times 100\;km[/tex]

[tex]\sf Time \; 2 = \dfrac{30 \; minutes \times 100 \; km}{40\;km}[/tex]

Solve for Time 2:

[tex]\sf Time \; 2 = \dfrac{30 \; minutes \times 100}{40}[/tex]

[tex]\sf Time \; 2 = \dfrac{3000 \; minutes}{40}[/tex]

[tex]\sf Time\;2=75\;minutes[/tex]

Therefore, it will take Faisal 75 minutes to drive 100 km.

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