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

Related Questions

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.