Question

A teacher driving his vehicle at 24 kmph, reaches her school 5 minutes late. If she had driven the vehicle 25% faster on an average she would have reached 4 minutes earlier than the scheduled time. How far is her school ?

• A. 72 km
• B. 36 km
• C. 48 km
• D. 18 km

Answer 1

Answer:

D. 18 km

The initial speed of the teacher is 24 km/hr Final speed = 24× 125/100 ⇒ 30 km/hr ⇒ The ratio of speed = 24 : 30 ⇒ 4 : 5 ⇒ Time ratio = 5 : 4 ⇒ 1 unit = 9 minutes ⇒ 5 unit = 45 minute or 3/4 hour ⇒Distance = 24 × 3/4 ⇒ 18 km