Question

3.Ellen works for a high-speed rail company that wants to develop a new rail line. Ellen’s project is to find a train that is the second fastest in the world. The Shinkansen Bullet Train in Japan is reported to go as fast as 320 kilometers per hour. The TGV train in France can reach speeds of 89.44 meters per second. Explain to Ellen how to find what speed her new train must go to be the second fastest in this group. Then, find an appropriate speed for Ellen’s train in miles per hour and use the formula distance = speed • time to find how far the train can go in 2.5 hours. Use complete sentenc

Answer 1

Help?

Answer 2

Since we end up in miles per hour, I will convert to that. The Shinknsen goes 320 kilometers per hour and 1 kilometer is equal to 0.62 miles. So if we multiply 320 times 0.62, we get 198.4 (or 198.89 if no rounding of the conversion factors) miles per hour. The TGV goes 89.44 meters per second. 1 meter equals 0.00062 miles, so multiplying those together gives us 0.055 miles per second. But we need to make that “per hour.” There are 60 seconds in a minute and 60 minutes in an hour, so there are 60 • 60, or 3600 seconds in an hour. Multiply that by 0.055 and we have the TGV traveling at 199.63 miles per hour (or 200.11 miles per hour if no rounding of the conversion factors). So Ellen’s train needs to be going faster than the Shinkansen, but not as fast as the TGV.
distance = speed • time
distance = 199.5 • 2.5
distance = 498.75 miles