Question

A car takes 10 h to travel from Mumbai to Goa with uniform speed of 58.7 km h-1. Find the distance between two cities.​

Answer 1

Answer:

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.