Kongkangidn
Answered

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Two cars leave a certain place at 2:00 PM and travel in opposite directions. If one travels
at 70 kph and the other at 80 kph, at what time will they 225 km apart?

Sagot :

Jafif67556idn

Answer:

The two cars will be 225 km apart at 3:30 PM.

Step-by-step explanation:

Step 1: Calculate the combined speed of both cars

The speed at which the distance between the two cars increases is the sum of their individual speeds.

[tex]{\text{Combined Speed} = 70 \, \text{kph} + 80 \, \text{kph} = 150 \, \text{kph}}[/tex]

Step 2: Set up the distance formula

The formula to find the distance when speed and time are known is:

[tex]\text{Distance} = \text{Speed} \times \text{Time}[/tex]

Given:

[tex]\text{Distance} = 225 \, \text{km}[/tex]

[tex]\text{Speed} = 150 \, \text{kph}[/tex]

We need to find the time ( t ):

[tex]225 \, \text{km} = 150 \, \text{kph} \times t[/tex]

Step 3: Solve for time

[tex]t = \frac{225 \, \text{km}}{150 \, \text{kph}}[/tex]

[tex]t = 1.5 \, \text{hours}[/tex]

Step 4: Add the time to the initial time

The cars left at 2:00 PM and will travel for 1.5 hours.

[tex]{2:00 \, \text{PM} + 1.5 \, \text{hours} = 3:30 \, \text{PM}}[/tex]

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