The ratio Between the speed of a truck car and train in 3:8:9.The car moved uniformly and covered a distance of 1040 KM in 13 hours.what is the average speed of the truck and train together?
Answers
Answer:
Answer is 60.
Step-by-step explanation:
average speed of the truck and train together = 45 km/hr for 1040 km Distance & 60 km/hr for given time
Step-by-step explanation:
The ratio Between the speed of a truck car and train in 3:8:9
The car moved uniformly and covered a distance of 1040 KM in 13 hours
Speed of Car = 1040/13 = 80 km/Hr
Speed of Truck = 30 km/hr
Speed of Train = 90 km/hr
Average speed of Truck & train together for 13 hrs
Distance Covered by Truck = 13 * 30 = 390 km
Disance Covered by Train = 13 * 90 = 1170 km
390 + 1170 = 1560 km
Time taken = 13 + 13 = 26 hrs
Average speed = 1560/26 = 60 km/Hr
Average speed of Truck & train together for 1040 km
Time taken by Truck = 1040/30 = 104/3 hrs
Time taken by Train = 1040/90 = 104/9 hrs
Total time taken = 104/3 + 104/9
= 4 * 104/9 hrs
Total Distance = 2 * 1040 km
Average Speed = (2 * 1040)/(4 * 104/9) = 45 km/Hr
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