Question : A man travels for 14 hours and 40 minutes. He covers half of the journey by train at a rate of 60 km/hr and the rest by road at a rate of 50 km/hr. The distance travelled by him is:
Option 1: 720 km
Option 2: 800 km
Option 3: 960 km
Option 4: 1000 km
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Correct Answer: 800 km
Solution : Given: A man covers half of the journey by train at a rate of 60 km/hr and the rest by road at a rate of 50 km/hr. So, the average speed of the man = ($\frac{2×60×50}{60+50}$) = $\frac{600}{11}$ km/h With this average speed, he travels for 14 hours and 40 minutes i.e., 14$\frac{2}{3}$ hours = $\frac{44}{3}$ hours $\therefore$ The distance travelled by him is = ($\frac{600}{11}$×$\frac{44}{3}$) km = 800 km Hence, the correct answer is 800 km.
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Question : A man travels 450 km to his home, partly by train and partly by car. It takes 8 hours and 40 minutes if he travels 240 km by train and rests by car. It takes 20 minutes more if he travels 180 km by train and the rest by car. The speed of the car in km/h is:
Option 1: 45
Option 2: 50
Option 3: 60
Option 4: 48
Question : A person travels in a car at 40 km/hr for 3 hours, on a bike at 30 km/hr for 2 hours, and in a train at 80 km/hr for 5 hours. What is the average speed at which he travelled?
Option 1: 56 km/hr
Option 2: 60 km/hr
Option 3: 62 km/hr
Option 4: 58 km/hr
Question : A man travels some distance at a speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hours and 20 minutes, the distance is:
Option 1: 35 km
Option 2: 21 km
Option 3: 9 km
Option 4: 12 km
Question : A man travelled a distance of 99 km in 9 hours. He travelled partly on foot at the rate of 9 km/hr and partly on bicycle at the rate of 18 km/hr. What is the distance (in km) travelled on foot?
Option 1: 36
Option 2: 54
Option 3: 63
Option 4: 45
Question : A man travelled a distance of 80 km in 7 hours, partly on foot at the rate of 8 km/hr and partly on bicycle at 16 km/hr. The distance travelled on the foot is:
Option 1: 32 km
Option 2: 48 km
Option 3: 36 km
Option 4: 44 km
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