Multiple choice

Vincent works as a cab driver in Gett Taxi Services in Perth. He leaves Perth at 6:30 PM for a pickup point in Edinburgh at 10:30 PM, which is 150 miles away from Perth. At 8:30 PM, he finds that he has covered only two fifths of the distance. By how much does he have to increase the speed of the cab in order to keep up his schedule?

  1. 45 miles per hour

  2. 30 miles per hour

  3. 22 miles per hour

  4. 15 miles per hour

  5. 10 miles per hour
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total distance = 150 miles. Time = 4 hours (6:30 to 10:30). Two fifths covered in 2 hours (6:30 to 8:30) = 60 miles. Remaining distance = 90 miles. Remaining time = 2 hours. Required speed = 90/2 = 45 mph. Initial speed = 60/2 = 30 mph. Increase = 15 mph.

AI explanation

The driver travels for 2 hours from 6:30 PM to 8:30 PM and covers two fifths of the 150 mile trip, which is 60 miles. His initial speed is 60 miles divided by 2 hours, which equals 30 miles per hour. He has 90 miles remaining and 2 hours left to reach his destination by 10:30 PM. The required speed for the remaining distance is 90 miles divided by 2 hours, which equals 45 miles per hour, meaning he must increase his speed by 15 miles per hour.

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