The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in

The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in 2 hours, how far does the slower car travel in the same time?

The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in 2 hours, how far does the slower car travel in the same time?

Step 1: Identify the ratio of the speeds of the two cars, which is 5:7.
Step 2: Calculate the speed of the faster car. It travels 140 km in 2 hours.
Step 3: Use the formula for speed: Speed = Distance / Time. So, Speed of faster car = 140 km / 2 hours = 70 km/h.
Step 4: Find the speed of the slower car using the ratio. The slower car's speed is (5/7) of the faster car's speed.
Step 5: Calculate the speed of the slower car: (5/7) * 70 km/h = 50 km/h.
Step 6: Now, calculate how far the slower car travels in the same 2 hours.
Step 7: Use the formula for distance: Distance = Speed * Time. So, Distance traveled by slower car = 50 km/h * 2 hours = 100 km.

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