Two trains Intercity express and Suvidha express start from Udaipur to Jaipur and Jaipur to Udaipur at the same time. Their speeds are 50 km/h and 100 km/h respectively. If a passenger travelling in Suvidha express reaches Ajmer in 2 hours and waits for his brother. Who is coming to Ajmer from Intercity express, if the distance between Udaipur to Jaipur is 350 km then find how many hours Suvidha Express passenger waits for his brother at Ajmer.
Two trains Intercity express and Suvidha express start from Udaipur to Jaipur and Jaipur to Udaipur at the same time. Their speeds are 50 km/h and 100 km/h respectively. If a passenger travelling in Suvidha express reaches Ajmer in 2 hours and waits for his brother. Who is coming to Ajmer from Intercity express, if the distance between Udaipur to Jaipur is 350 km then find how many hours Suvidha Express passenger waits for his brother at Ajmer. Correct Answer 1 hours
Given:
Speed of Intercity express = 50 km/h
Speed of Suvidha express = 100 km/h
Distance between Udaipur to Jaipur = 350 km
Formula used:
Speed = Distance/time
Distance = Speed × time
Calculations:
Distance covers by Suvidha express to reach at Ajmer = Speed × time = 100 × 2 = 200 km
Distance Travels by Intercity express in 2 hours = Speed × time = 50 × 2 = 100 km
Distance between Udaipur to Ajmer = Distance between Udaipur to Jaipur – Distance between Jaipur to Ajmer
⇒ Distance between Udaipur to Ajmer = 350 – 200 = 150
⇒ Intercity travels 100 km and it has to travel 150 km to reach at Ajmer
⇒ Intercity needs to travel 50 km to reach at Ajmer
⇒ Time taken by Intercity to reach at Ajmer = distance/speed = 50/50 = 1 hour
∴ Suvidha Express passenger waits for his brother at Ajmer only 1 hour