Question 1 • FL-1200700-Mathematics for College Algebra MIS
Alejandro wrote an equation to fit the following scenario.A person driving a pick-up truck and another person driving a motorcycle arrange to meet at a park. The pick-up truck driver took twice as long to arrive while driving at an average speed of 45 mph. The motorcyclist drove 55 mph and had a 23 miles less to drive. Alejandro’s work: t = number of hours for the pick-up truck driver to complete the trip Equation: Which statements identify Alejandro’s errors? Select the two correct answers.
Answer
A
He should have added the 23 to the motorcyclist’s distance instead of subtracting to balance the equation.
B
He should have written 45(2t) for the pick-up truck driver’s distance, since the he took twice as long.
C
He should have written 55(t) for the motorcyclist’s distance since t = number of hours for the pick-up truck driver to complete the trip.
D
He should have written for the motorcyclist’s distance since it only took half the time as the pick-up truck driver.
E
He should have translated the scenario as motorcycle distance + pick-up truck distance = 23 since 23 is the distance mentioned.