Distance, Rate, and Time

What is the formula for calculating distance when rate and time are known?

Answer explanation

The formula for calculating distance (d) when rate (r) and time (t) are known is d = r × t. This means distance is the product of the rate of travel and the time spent traveling.

If Train A travels at 80 kilometers per hour and Train B travels at 100 kilometers per hour, what is the combined rate at which they are approaching each other?

• 80 kilometers per hour

• 100 kilometers per hour

• 180 kilometers per hour

• 200 kilometers per hour

Answer explanation

To find the combined rate at which Train A and Train B are approaching each other, simply add their speeds: 80 km/h + 100 km/h = 180 km/h. Therefore, the correct answer is 180 kilometers per hour.

• 10 hours

• 15 hours

• 20 hours

• 25 hours

Answer explanation

Combine like terms: 80t + 100t = 180t. Set the equation to 180t = 3600. Divide both sides by 180 to find t = 20. Thus, the value of t is 20 hours.

If the distance between Los Angeles and Detroit is 3,600 kilometers, how far will Train A have traveled when the two trains meet?

• 1,200 kilometers

• 1,600 kilometers

• 2,000 kilometers

• 2,400 kilometers

Answer explanation

When the two trains meet, they will have covered the total distance of 3,600 kilometers. If Train A travels 1,600 kilometers, then Train B will have traveled 2,000 kilometers, making 1,600 kilometers the correct answer.

How far will Train B have traveled when the two trains meet?

• 1,600 kilometers

• 1,800 kilometers

• 2,000 kilometers

• 2,200 kilometers

Answer explanation

To find the distance Train B travels when the two trains meet, we can use the formula: Distance = Speed × Time. Given the speeds and the time until they meet, Train B travels 2,000 kilometers.

What is the formula for calculating rate when distance and time are known?

Answer explanation

The correct formula for calculating rate (r) when distance (d) and time (t) are known is r = d/t. This means that rate is equal to the distance traveled divided by the time taken.

What is the formula for calculating time when distance and rate are known?

Answer explanation

The formula for calculating time (t) when distance (d) and rate (r) are known is t = d / r. This means time is equal to distance divided by rate, making the first choice the correct answer.

If Train A travels 1,600 kilometers in 20 hours, what is its rate of travel?

• 60 kilometers per hour

• 70 kilometers per hour

• 80 kilometers per hour

• 90 kilometers per hour

Answer explanation

To find the rate of travel, divide the distance by the time: 1600 km ÷ 20 hours = 80 km/h. Therefore, the correct answer is 80 kilometers per hour.

If Train B travels 2,000 kilometers in 20 hours, what is its rate of travel?

• 90 kilometers per hour

• 95 kilometers per hour

• 100 kilometers per hour

• 105 kilometers per hour

Answer explanation

To find the rate of travel, divide the distance by the time: 2000 km ÷ 20 hours = 100 km/h. Therefore, the correct answer is 100 kilometers per hour.

If two trains leave at the same time and meet after 20 hours, how long did each train travel?

• 15 hours

• 18 hours

• 20 hours

• 22 hours

Answer explanation

Both trains travel for the same duration until they meet. Since they meet after 20 hours, each train traveled for 20 hours.