Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How long will it take for them to collide if they are 200 meters apart?

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Q: Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How long will it take for them to collide if they are 200 meters apart?

Solution: Relative speed = 50 km/h + 70 km/h = 120 km/h = 33.33 m/s. Time = Distance / Relative speed = 200 m / 33.33 m/s = 6 seconds.

Steps: 6

Step 1: Identify the speeds of the two cars. One car is moving at 50 km/h and the other at 70 km/h.
Step 2: Calculate the relative speed by adding the speeds of both cars together: 50 km/h + 70 km/h = 120 km/h.
Step 3: Convert the relative speed from kilometers per hour to meters per second. To do this, divide by 3.6: 120 km/h ÷ 3.6 = 33.33 m/s.
Step 4: Determine the distance between the two cars, which is given as 200 meters.
Step 5: Use the formula for time, which is Time = Distance / Speed. Plug in the values: Time = 200 m / 33.33 m/s.
Step 6: Calculate the time: 200 m ÷ 33.33 m/s = 6 seconds.