A horse covers a certain distance in 40 minutes if it runs at a speed of 60…
2023
A horse covers a certain distance in 40 minutes if it runs at a speed of 60 km/hr. At what speed the horse can cover the same distance in 30 minutes?
- A.
80 km/hr
- B.
82 km/hr
- C.
88 km/hr
- D.
83 km/hr
Attempted by 8 students.
Show answer & explanation
Correct answer: A
The correct answer is Option A: 80 km/hr.
Step-by-Step Solution
Calculate the Distance: Use the formula Distance = Speed × Time.
Speed = 60 km/hr.
Time = 40 minutes. Convert this to hours by dividing by 60: 40 / 60 = 2/3 hours.
Distance = 60 × (2/3) = 40 km.
Calculate the Required Speed: To cover the same distance (40 km) in a new time (30 minutes), use the formula Speed = Distance / Time.
Distance = 40 km.
New Time = 30 minutes. Convert this to hours: 30 / 60 = 1/2 hour.
New Speed = 40 / (1/2) = 40 × 2 = 80 km/hr.