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Pritam Vishnoi

· started a discussion

· 1 Months ago

velocity of train is 120 not 90

Knowledge Expert

· commented

· 1 Months ago

Dear student We have updated the solution, please solve it again. Keep learning Team TR
anita

· started a discussion

· 1 Months ago

Karthikeyan St

· started a discussion

· 1 Months ago

Distance travelled by truck and train is not clearly given so we can't find average speed for both of them...if my opinion is wrong please tell me how this is possible
Thank you

Question:
The ratio between the speeds of a truck, car and train is 3 : 8: 12. The car moved uniformly and covered a distance of 1040 km in 13 hours. What is the average speed of the truck and the train together?
Options:
A) 74 km/h 
B) 60 km/h
C) 48 km/h
D) Cannot be determined
Solution:

Ans (c) 

The ratio between the speeds of the truck, car and train is 3: 8: 12.

Given that the car covers 1040 km in 13 hours, the speed of the car 80 km/h

Also, if we assume that the speeds of the truck, car and train are 3x, 8x and 12x 

respectively, then

Speed of car = \(\cfrac{1040}{13}\) = 80 kmph

Ratio of speed of truck, car and train = 3 : 8 : 12

Now, 8x = 80 => x = 10 

Hence, truck = 30 kmph 

Train = 120 kmph

Therefore, Average speed of truck and train together = \(=\cfrac{2\times x\times y}{x+y}\)

=\(=\cfrac{2\times 30\times 120}{30+120}=48km/h\)

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