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.
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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.
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