Multiple choice

Alfie owns an AeroMobil. He had to go to another town for an important work, which he had to complete on the same day. He asked his driver to drive (from home) at an average speed of 30 miles per hour so that they could reach his garage. He then took his AeroMobil and flew at an average speed of 60 miles per hour to reach the town. The total journey was 150 miles long, and it took him 3 hours to reach the destination. What is the distance from the garage to the town he wanted to reach?

  1. 145 miles

  2. 120 miles

  3. 100 miles

  4. 90 miles

  5. 80 miles
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let d1 be distance by car, d2 by plane. d1+d2=150. Time = d1/30 + d2/60 = 3. Multiply by 60: 2*d1 + d2 = 180. Subtract (d1+d2=150) from (2*d1+d2=180) gives d1=30. Then d2 = 150-30 = 120.

AI explanation

Let x be the distance driven at 30 mph, so the distance flown at 60 mph is 150 minus x, and the total time equation is x/30 plus (150 minus x)/60 equals 3 hours. Multiplying the entire equation by 60 clears the denominators, resulting in 2x plus 150 minus x equaling 180. Solving for x gives 30 miles driven, so the distance from the garage to the town is 150 minus 30, which is 120 miles.

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