Walking at the rate of 4 kmph a man cover a certain distance in 2 hr 45 min.…
2025
Walking at the rate of 4 kmph a man cover a certain distance in 2 hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
Answer: B. B. 40 min — Step-by-Step SolutionTo find the time taken at a new speed for the same distance, we follow these steps: Calculate the total distance: Walking speed = 4 kmph…
- A.
A. 12 min
- B.
B. 40 min
- C.
C. 50 min
- D.
D. 60 min
Attempted by 9 students.
Show answer & explanation
Correct answer: B
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 = 4 kmph
Time taken = 2 hours and 45 minutes
Convert time to hours: 2 hours + 45/60 hours = 2 + 0.75 = 2.75 hours (or 11/4 hours).
Distance = Speed × Time = 4 × (11/4) = 11 km.
Calculate the time taken for the new speed:
New speed = 16.5 kmph
Time = Distance / New Speed
Time = 11 / 16.5
To simplify, multiply both numerator and denominator by 10: 110 / 165
Dividing both by 55: 2 / 3 hours.
Convert the time back to minutes:
(2/3) hours × 60 minutes/hour = 40 minutes.