Math, asked by barikpapa813, 6 hours ago

rationof speed af car, bus and truck 5:2:3 . average speed of car, bus and truck together is 60km/h.what is average of car and truck ​

Answers

Answered by pulakmath007
1

SOLUTION

GIVEN

Ratio of speed of car, bus and truck 5 : 2 : 3

Average speed of car, bus and truck together is 60km/h

TO DETERMINE

The average speed of car and truck

EVALUATION

Here it is given that the ratio of speed of car, bus and truck 5 : 2 : 3

Let speed of car, bus and truck are respectively 5x km/h , 2x km/h , 3x km/h

Sum of the speed of car, bus and truck

= 5x km/h + 2x km/h + 3x km/h

= 10x km/h

Average speed

\displaystyle \sf{   =  \frac{10x}{3}  \:  \: km/h}

So by the given condition

\displaystyle \sf{ \implies  \frac{10x}{3}   =60 }

\displaystyle \sf{ \implies  x =60 \times  \frac{3}{10}  }

\displaystyle \sf{ \implies  x  = 18 }

Hence the required average speed of car and truck

\displaystyle \sf{   =  \frac{5x + 3x}{2}  \:  \: km/h}

\displaystyle \sf{   =  \frac{8x}{2}  \:  \: km/h}

\displaystyle \sf{   = 4x \:  \: km/h}

\displaystyle \sf{   = (4 \times 18) \:  \: km/h}

\displaystyle \sf{   = 72 \:  \: km/h}

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Answered by dagreswarputel
1

Answer:

(5x+2x+3x)=10x/3

=>10x/3=60

x=180/10=18

car,5x=5*18=90

truck,3x=3*18=54

total=144/2=72km/hr

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