Multiple choice

Robin lives 33 miles from his place of work. He rides his bike at a speed of 6 mph from his house to the metro station. He then takes the metro to work, which travels at 30 mph. If he spends 6 minutes less on metro than on his bike, then what is the distance from the metro to his house?

  1. 4 miles

  2. 6 miles

  3. 8 miles

  4. 12 miles

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let d be the distance by bike. Then 33 - d is the distance by metro. Time by bike = d/6. Time by metro = (33 - d)/30. Given d/6 - (33 - d)/30 = 6/60 = 0.1. Multiply by 30: 5d - (33 - d) = 3. 6d = 36, so d = 6 miles.