Question

A car cover a distance of 300 km with some speed. If the speed is increased by 10 km/hr, it will cover the same distance in l hour less. Find the speed of car using the following hints

Answer 1

Answer:

refer to the attachment

Answer 2

Answer:

50km/hr

Let's start by writing the words in the form of mathematical equations,

v = s/t

v+10 = s/(t-1)

from the above two equations, we can calculate v by substituting the S to be 300km, Taking time in hours

we can re-write the equation 2 with the help of equation 1 as,

v+10 = 300*v/(300-v)

multiplying both sides with (300-v) we get

300v - (v^2) + 3000 -10v = 300v

which can be further simplified to get

v^2 + 10v - 3000=0

v^2- 50v +60v -3000 = 0

v = 50kmph