Question

A train covers a distance of 600 km at x km/h. Had the
speed been (x + 20) km/h, the time taken to cover the
distance would have been reduced by 5 hours. Write
down an equation in x and solve it to evaluate x.​

Answer 1

600 + 20 = 620

so

if it is reduced by five

the ecuation is 615

so

the x is = to what

so then the evalute is 600 - 70

ok

Answer 2

Answer:

x = 40

Step-by-step explanation:

$\frac{distance}{speed \:} = time$

A train covers a distance of 600 km at x km/h

$time = \frac{600}{x}$

If speed is (x+20) kmph,

$time = \frac{600}{(x + 20)}$

Had the speed been (x + 20) km/h, the time taken to cover the distance would have been reduced by 5 hours.

It means difference in time is 5 hours.

( Note: x kmph speed take y hr and (x+20) kmph take (y-5) hr. Difference in time = 5 hr)

So we can write,

$\frac{600}{x} - \frac{600}{(x + 20)} = 5$

${x}^{2} + 20x - 2400 = 0$

find the roots of quadratic equations

x = 40 , -60