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

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What’s inside this PDF?

Question: If the ratio of the speeds of two cars is 5:7 and the faster car travels 140 km in an hour, how far does the slower car travel in the same time?

Options:

Correct Answer: 100

Solution:

Let speeds be 5x and 7x. Given 7x = 140, x = 20. Slower car\'s speed = 5x = 5*20 = 100 km.

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

Practice Questions

If the ratio of the speeds of two cars is 5:7 and the faster car travels 140 km in an hour, how far does the slower car travel in the same time?

Questions & Step-by-Step Solutions

If the ratio of the speeds of two cars is 5:7 and the faster car travels 140 km in an hour, how far does the slower car travel in the same time?

Step 1: Understand that the speeds of the two cars are in a ratio of 5:7.
Step 2: Let the speed of the slower car be 5x and the speed of the faster car be 7x.
Step 3: We know the faster car travels 140 km in an hour, so we can set up the equation: 7x = 140.
Step 4: Solve for x by dividing both sides of the equation by 7: x = 140 / 7.
Step 5: Calculate x: x = 20.
Step 6: Now, find the speed of the slower car by substituting x back into the equation for the slower car's speed: 5x = 5 * 20.
Step 7: Calculate the slower car's speed: 5 * 20 = 100 km.
Step 8: Therefore, the slower car travels 100 km in the same time.

Ratio and Proportion – Understanding and applying the concept of ratios to compare the speeds of two cars.
Speed and Distance Relationship – Using the relationship between speed, distance, and time to calculate how far the slower car travels.

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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