The ratio between the speed of a truck, car and train is 3:8:1 2 respectively. The car is uniformly moving and covers a distance of 1040 km in 13 hours. What is the average speed of the truck and the train together?
A. 75 km/h
B. 60 km/h
C. 48 km/h
D. none of these
Ratio of speed of truck, car and train = 3x:8x:12x
Distance travelled by car = 1040km
Time taken = 13 hr
Speed of truck = Distance / Time = 1040/13 = 80
8x = 80
x= 80/8 = 10
Speed of truck, car and train = 30, 80, 120
Average speed = Total distance travelled / total time taken
Here distance travelled and time taken by truck and train is not given so we cannot calculate average speed of truck and car.
Ans D none of these
Let speed of the truck, car and Train are 3x, 8x and 12x respectively.
Total distance covered by car in 13 hours = 1040 km
1040 = 13 *8x
x = 10.
Speed of the car = 8x = 8 *10 = 80 kmph.
Speed of the train = 12X = 12 * 10 = 120 kmph.
Average speed of train and car = (80 + 120)/2 = 100 kmph.