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ANKIT KUMAR

· started a discussion

· 1 Months ago

wrong formula (Question:150205.0)

this formula of avg speed is applicable when they covers equal distancses

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

x = 10

Therefore, speed of truck 30 km/h

Speed of train = 120 km/h

Average speed of truck and train is calculated as:

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

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