Question

(a) If a car increases its speed by 10 km/h then it takes 36 minutes less to cover a distance of 72 km. Find the original speed of the car.​

Answer 1

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• New speed = x + 10 km/hr. ∴ New time = hr. Difference in time = 36 mins. ∴ Original speed = 30km/hr.

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Answer 2

Answer:

30km/hr

Step-by-step explanation:

Correct option is

A

30km/hr

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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