A man walking at a speed of 8 km/hr covers a certain distance in 1 hour 45…
2025
A man walking at a speed of 8 km/hr covers a certain distance in 1 hour 45 minutes. If he runs at a speed of 10 km/hr, in what time he will cover the same distance?
- A.
74 minutes
- B.
44 minutes
- C.
80 minutes
- D.
84 minutes
Attempted by 8 students.
Show answer & explanation
Correct answer: D
Step-by-Step Solution
To find the time taken at a new speed for the same distance, we follow these steps:
Calculate the total distance:
Walking speed = 8 km/hr
Time taken = 1 hour 45 minutes
Convert time to hours: 1 hour + 45/60 hours = 1 + 0.75 = 1.75 hours (or 7/4 hours).
Distance = Speed * Time = 8 * (7/4) = 14 km.
Calculate the time taken for the new speed:
New speed (running) = 10 km/hr
Time = Distance / New Speed
Time = 14 / 10 = 1.4 hours.
Convert the time back to minutes:
1.4 hours * 60 minutes/hour = 84 minutes.