Math, asked by arbazbaddi7186, 10 months ago

A car with speed 60 km/he takes 8 hrs to travel some distance. What should be the increase in the speed if the same distance is to be covered in 7 integer 1/2

Answers

Answered by Anonymous
2

Question:

  • A car with speed 60 km/hr takes 8 hrs to travel some distance. What should be the increase in the speed if the same distance is to be covered in 7\frac{1}{2} hours.

Answer:

\large\bold\red{4\;\;Km{hr}^{-1}}

Step-by-step explanation:

Let the distance to be covered be ‘x’ Km

\bold \orange{ \underline{Case\;I}}

  • Speed, v = 60 Km/hr
  • Time taken, t = 8 hr

We know that,

 \large \boxed { \bold \purple{Distance = Speed  \times Time}}

Therefore,

We get,

 =  > x = vt \\    =  > x = 60 \times 8  \\ =  > x = 480 \: km

Therefore,

Distance = 480 Km

Now,

\bold \orange{ \underline{Case\;II}}

Let the speed be ‘s’ km/hr

Also,

  • Distance = 480 km
  • Time taken =7\frac{1}{2} hr

Therefore,

 =  > s =  \frac{480}{7 \frac{1}{2} }  \\   \\ =  > s =  \frac{480}{ \frac{15}{2} }  \\  \\  =  > s =  \frac{480 \times 2}{15}   \\ \\  =  >s = 64 \:  \: km  \: {hr}^{ - 1}

Hence,

He should increase his speed by 4 km/hr

Answered by RvChaudharY50
40

Given :----

  • initial speed = 60km/h
  • initial time = 8 hours .

To Find :----

  • Speed of car increased if new time is 7(1/2) hours ?

Formula used :----

  • Distance = Speed × Time
  • Speed = Distance / Time

Solution :-----

car takes 8 hours at the rate of 60km/h to cover a distance ,

so, Total distance = S×T = 60×8 = 480km

Now, it has been said this same distance would be covered in 7(1/2) or 15/2 hours .

so,

Speed of car will be = D/T = 480 ÷ 15/2 = 480×2/15 = 64km/h .

inital speed = 60km/h .

so, increased in speed = 64 - 60 = 4km/h

Hence , speed of car will be 4km/h more to cover same distance in 7(1/2) hours .

(Hope it Helps you)

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