If Raman drives his bike at a speed of 24km/h, he reaches his office 5 minutes late. If he drives at a speed of 30 km/h, he reaches his office 4 minutes early. How much time (in minutes) will he take to reach his office at a speed of 27 km/h?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 40
Explanation:
Let the total distance be x km
Now, according to the question,
(x/24) - (x/30) = 9 minutes
⇒ [(5x - 4x)/120] = 9/60
⇒ [x/120] = 3/20
⇒ x = 18
So, total distance = 18 km
Now, if he travels at a speed of 27 km/hr then time taken = 18/27
⇒ 2/3 or 40 minutes.
Hence he take 40 minutes to reach his office.