Math, asked by satman2209, 3 months ago

How much distance will a train cover in 5 1/3 hours if it maintains a constant

speed of 75 3/4km/hr?​

Answers

Answered by Yugant1913
94

Given

  • Time = 5 ⅓ hours

  • Speed = 75 ¾ km/hr

To find

  • How much distance a train cover?

Formula used

  • Distance = Time ×speed

Solution

 \sf \: Time =  5 \times \frac{1}{3}  =  \frac{16}{3}  \\

 \sf \: Speed = 75 \times \frac{3}{4}   =  \frac{303}{4} \\

We know that

 \qquad \qquad \boxed{ \frak{ \implies \: Distance = Time × speed }}

 \qquad \qquad \sf { { \implies \: Distance =  \frac{16}{3}  \times  \frac{303}{4}  }} \\

Taking LCM of denominators 3 & 4 = 12

 \qquad \qquad \sf { { \implies \: Distance =   \frac{16 \times 303}{12}   }} \\

 \qquad \qquad \sf { { \implies \: Distance =   \frac{ \cancel{4848}}{ \cancel{12}  } }} \\

 \qquad \qquad \sf  \frak{ {{ \implies \: Distance =   404   }}} \\

The distance cover by train 404 km

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