If the ratio of the speeds of two trains is 5:7 and the faster train travels 140

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What’s inside this PDF?

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

Options:

Correct Answer: 120

Solution:

Let the speeds be 5x and 7x. Given 7x = 140, x = 20. Therefore, slower train speed = 5x = 5*20 = 100 km.

If the ratio of the speeds of two trains is 5:7 and the faster train travels 140

Practice Questions

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

Questions & Step-by-Step Solutions

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

Step 1: Understand that the speeds of the two trains are in a ratio of 5:7.
Step 2: Let the speed of the slower train be 5x and the speed of the faster train be 7x.
Step 3: We know the faster train 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 train by calculating 5x: 5x = 5 * 20.
Step 7: Calculate the speed of the slower train: 5 * 20 = 100 km.
Step 8: Since both trains travel for the same amount of time (1 hour), the slower train travels 100 km in that time.

Ratio and Proportion – Understanding and applying the concept of ratios to compare the speeds of two trains.
Speed Calculation – Calculating distance based on speed and time using the formula: Distance = Speed × Time.

If the ratio of the speeds of two trains is 5:7 and the faster train travels 140

What’s inside this PDF?

If the ratio of the speeds of two trains is 5:7 and the faster train travels 140

Practice Questions

Questions & Step-by-Step Solutions

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