A cargo train and a passenger train, which start from two stations that are 710 km apart, are traveling towards each other. The cargo train started an hour before the passenger train, and is traveling with a speed of 110 km/hour. In how many hours will the cargo train and the passenger train meet, if the passenger train is traveling at 90 km/hour?
Answers
Answer:
4 hours
Step-by-step explanation:
Total Distance = 710 km
Find the distance traveled in the first hour:
Cargo train = 110 km
Passenger train = 0 km
Total distance = 110 + 0 = 110 km
Find the distance between them after 1st hour:
Distance = 710 - 110 = 600 km
Find the distance covered every hour after 1st hour:
Cargo train = 110 km
Passenger train = 90 km
1 hour = 110 + 90 = 200 km
Find the number of hours needed for them to meet:
Number of hours =600 ÷ 200 = 3 hours
Find the total number of hours:
Total hours = 1 + 3 = 4 hours
Answer: They will meet 4 hours after the cargo train has started traveling.
Answer:
Both the trains will meet 3 hours after the passenger train started or 4 hours after the cargo train started.
Step-by-step explanation:
Distance covered by cargo train in 1st hour = 110 km
Rest of the distance remained = 710 - 110 = 600 km.
Distance covered by passenger train in one hour = 90 km
=> distance covered by both the trains in one hour = 110 + 90 = 200
Hence time taken by both the trains to cover 600 km = 600/200 = 3 hrs
Hence ,both the trains will meet 3 hours after the passenger train started or 4 hours after the cargo train started.