MCT 101BONUS HOMEWORKLecture 3CHOOSE 10 PROBLEMS1.In the United Kingdom, British Rail runs two types of modern high speed passengertrains. The Intercity-125 and the Intercity-225. The Intercity-125 has a top speed of125 mi/hr, whereas the newer Intercity-225 has a top speed of 225 km/hr. Whichtrain is faster?2.The radius of an atom is 1 x 10-10m. What is this radius in centimeters? In inches?3.You are in Paris, and you want to buy some peaches for lunch. The sign in the fruitstand indicates that peaches are 11.5 francs per kilograms. Given that there areapproximately 5 francs to the dollar, calculate what a pound of peaches will cost indollars.4.At the mall, you decide to try on a pair of Italian jeans. Naturally, the waist size of thejeans is given in centimeters. What does a waist measurement of 52 cm correspondto in inches?5.You pass a road sign saying “New York, 112 km”. If you drive at a constant speed of65 mi/hr, how long should it take you to reach New York?6.Arrange these items in order from shortest to longest: a 57 cm length of string, a 14inch long shoe, and a 1.1 m length of pipe.7.What is the price of a piece of gold wire 445 centimeters long that sells for $12.25per foot?8.The recommended adult dose of dextromethorphan, a drug used to treat cold is 35mg/kg of body mass. Calculate the dose in milligrams for a 175 lb person.9.A rectangular box is 4.00 in. wide, 12.00 in. long, and 16.0 in. deep. Calculate thevolume in both cubic centimeter and in liter.10.A car travels 35 miles on one gallon of gasoline. How many kilometers on one literwill it go?11.A common brand of cough syrup comes in a 4 fl oz bottle. The active ingredient inthe cough syrup is dextromethorphan. For an adult, the standard dose is 2teaspoons, and a single dose contains 20.0 mg of dextromethorphan. Using therelationships, 1 fl oz = 29.6 mL and 1 teaspoon = 5.0 mL, determine how manygrams of dextromethorphan are contained in the bottle