Question

if the speed of a vehicle decreases by 10kmph, it takes 2 hours more than what it
takes to cover a distance of 1800km. Find the time it usually takes​

Answer 1

Answer:

Step-by-step explanation:

Let the original speed of the car =xkm/hr

∴ Time taken by it to cover 72km=  

x

72

​  

hrs

New speed of the car = (x+10)km/hr

∴ New time taken by the car to cover 72km=  

x+10

72

​  

hrs

As per the given condition, time is reduced by 36 minutes

∴  

x

72

​  

−  

x+10

72

​  

=  

60

36

​  

 

x  

2

+10x−1200=0

(x−30)(x+40)=0

On solving we get, x=−40 or x=30

Since the speed cannot be negative, so x=30km/hr.