Kabul is 4 hr ahead of Istanbul and 2 hr behind Amritsar. A Truck leaves Istanbul at 6 p.m. on Friday (Istanbul local time) and reaches Kabul the next day. After stopping there for 2 hr, it leaves exactly at noon (Kabul local time) and reaches Amritsar at 1 a.m. (Amritsar local time). Its journey, including stoppage, is covered at an average speed of 100 km/hr. What is the distance between Istanbul and Amritsar?
Kabul is 4 hr ahead of Istanbul and 2 hr behind Amritsar. A Truck leaves Istanbul at 6 p.m. on Friday (Istanbul local time) and reaches Kabul the next day. After stopping there for 2 hr, it leaves exactly at noon (Kabul local time) and reaches Amritsar at 1 a.m. (Amritsar local time). Its journey, including stoppage, is covered at an average speed of 100 km/hr. What is the distance between Istanbul and Amritsar? Correct Answer 2500 km
Given:
Its journey, including stoppage, is covered at an average speed of 100 km/hr.
Concept used:
Noon = 12 PM
Time × Speed = Distance
Calculation:
The truck leaves Istanbul at 6 PM Friday (Istanbul local time) and reaches Kabul the next day.
During that time,
Kabul local time = 6 + 4 = 10 PM
Hence, the truck leaves Istanbul at 10 p.m. on Friday (Kabul local time).
After stopping in Kabul for 2 hr, it leaves exactly at noon (Kabul local time).
Hence, the truck reached Kabul at = 12 PM - 2 hours = 10 AM (Saturday)
Thus, the total time taken for the journey from Istanbul to Kabul (Including the rest)
⇒ (10 PM - 10 AM) + 2 hours
⇒ 14 hours.
When the truck left for Amritsar, the Amritsar local time = 12 PM + 2 hours = 2 AM (Saturday)
The truck reaches Amritsar at 01.00 AM. (Amritsar local time)
Thus, the total time taken for the journey from Kabul to Amritsar = (2 PM - 1 AM) = 11 hours
Total time taken during the journey from Istanbul to Amritsar = 14 + 11 = 25 hours
Hence, the total distance = 25 × 100 = 2500 km.
∴ The distance between Istanbul and Amritsar is 2500 km.