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2023

Mathematics

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If a car runs at a constant speed and takes 4.5 hrs to run a distance of 225 km, what time will it take to run 150 km?

A.

2 hrs

B.

 4 hrs

C.

3 hrs

D.

1 hr

Correct Answer: 3 hrs

Explanation

Let T be the time taken and D is the distance For the case given in the problem, the distance covered is directly proportional to the time taken i.e D α T ⇒ D = ST where S is the constant speed D = 225 km and T = 4.5 hrs ∴ 225 = S x 4.5 S = 225/4.5 = 50 km/hr When D = 150 km D = ST 150 = 50 × T T = 150/50 = 3 hrs So it will take 3 hrs

Let T be the time taken and D is the distance For the case given in the problem, the distance covered is directly proportional to the time taken i.e D α T ⇒ D = ST where S is the constant speed D = 225 km and T = 4.5 hrs ∴ 225 = S x 4.5 S = 225/4.5 = 50 km/hr When D = 150 km D = ST 150 = 50 × T T = 150/50 = 3 hrs So it will take 3 hrs
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