Question

A train travels at 62 mph, and has been traveling for 4.45 hours. Another train speeds along at 88 km/h and has been on the track for 3.3 hours. What is the total distance, in km, that each train has traveled (round to the nearest tenth)?

Answer 1

To find the total distance each train has traveled, we first converted the speed of the first train from mph to km/h and then multiplied each train's speed by its travel time. The first train traveled approximately 444 km and the second train covered 290.4 km, both rounded to the nearest tenth.

Step-by-step explanation:

To calculate the total distance each train has traveled, we simply multiply the speed of each train by the time it has been traveling. Since the units of speed are different for each train, we will need to convert one set of units so they are both the same. In this case, we will convert miles per hour (mph) to kilometers per hour (km/h) before performing the calculations.

For the first train traveling at 62 mph, we convert this speed to kilometers per hour using the fact that 1 mile is approximately equal to 1.60934 kilometers:

62 mph × 1.60934 km/mile = 99.77908 km/h

Next, we calculate the distance traveled by each train:

1. First train: 99.77908 km/h × 4.45 hours = 444km (rounded to the nearest tenth)
2. Second train: 88 km/h × 3.3 hours = 290.4km (rounded to the nearest tenth)

Total distance in km for each train has now been calculated to the nearest tenth:

First train: 444 km (rounded to the nearest tenth)

Second train: 290.4 km (rounded to the nearest tenth)