Multiple choice

A boy travelled by train which moved at the speed of $30$ mph. He then boarded a bus which moved at the speed of $40$ mph and reached his destination. The entire distance covered was $100$ miles and the entire duration of the journey was $3$ hours. Find the distance he travelled by bus.

  1. $40$ miles
  2. $60$ miles
  3. $80$ miles
  4. $100$ miles
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let x be the distance by train and y be the distance by bus. We have x + y = 100 and (x/30) + (y/40) = 3. Solving the system: 4x + 3y = 360 and 3x + 3y = 300. Subtracting gives x = 60, so y = 40.

AI explanation

Let the time spent on the train be x hours, making the time spent on the bus (3 - x) hours since the total travel duration is 3 hours. Using the distance formula, the total distance is 30x + 40(3 - x) = 100 miles. Simplifying this equation gives 30x + 120 - 40x = 100, which means 10x = 20 and x = 2 hours. The distance travelled by bus is its speed multiplied by its time, 40 * (3 - 2), which equals 40 miles.

Keep practicing — related questions