ACT Math · Ratios, rates, and percents

A train travels at 80 miles per hour for 2.5 hours, then slows to 60 miles per hour for 1.5 hours. What is the total distance traveled?

A train travels at 80 miles per hour for 2.5 hours, then slows to 60 miles per hour for 1.5 hours. What is the total distance traveled?

Answer and explanation

Answer: H: 290 miles

Distance is rate times time for each leg. The first leg is 80⋅2.5=20080\cdot2.5=200 miles. The second leg is 60⋅1.5=9060\cdot1.5=90 miles. The total distance is 200+90=290200+90=290 miles, choice H. Choice F (200200) includes only the first leg. Choice G (210210) uses 1.51.5 hours for both legs, 80(1.5)+60(1.5)=120+9080(1.5)+60(1.5)=120+90. Choice J (350350) uses 2.52.5 hours for both legs, 200+150200+150. Each speed must be matched with its own time, and the two distances are then added.

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