Lokesh travels from City A to City B. If Lokesh drives his car at of his normal speed, then he reaches City B 24 minutes late. Find the time (in minutes) that Lokesh would have taken to travel from City A to City B if he drove at his normal speed.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2, i.e., 72.
Let the normal time = t minutes
Let the normal speed = s
Distance = Speed × Time → Distance = s × t
At of speed, time taken = Distance ÷ New speed = (s × t) ÷ (3s ÷ 4) = 4t ÷ 3
Delay = (4t ÷ 3) − t = 24
⇒ 4t ÷ 3 − t = 24
⇒ (4t − 3t) ÷ 3 = 24
⇒ t ÷ 3 = 24
⇒ t = 72