A person travels a total distance of 132 km 132 \text{ km} 132 km in t t t hours by using a car for some part and a train for the rest. The speed of t...

Question

A person travels a total distance of 132 km132 \text{ km} in tt hours by using a car for some part and a train for the rest. The speed of the train is 20% higher than the speed of the car. The ratio of the distance covered by car to that covered by train is 4:74 : 7. It is also given that the car covers 48 km48 \text{ km} at a speed of 24 km/h24 \text{ km/h} in (t+0.5)(t + 0.5) hours. What is the approximate speed of the train?

Options

A.

100 km/h100 \text{ km/h}

B.

94 km/h94 \text{ km/h}

C.

80 km/h80 \text{ km/h}

D.

110 km/h110 \text{ km/h}

E.

120 km/h120 \text{ km/h}

speeddistanceratiotimetraincar

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