Question : Rubi goes to a multiplex at a speed of 3 km/h to see a movie and reaches 5 minutes late. If she travels at the speed of 4 km/h she reaches 5 minutes early, then the distance of the multiplex from her starting point is:
Option 1: 2 km
Option 2: 5 km
Option 3: 2 metres
Option 4: 5 metres
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Correct Answer: 2 km
Solution : Let the distance be $x$ km. According to the question, Speed = $\frac{\text{Distance}}{\text {Time}}$ $\frac{x}{3}–\frac{x}{4}=\frac{5+5}{60}$ ⇒ $x=2$ Hence, the correct answer is 2 km.
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Question : A man walks from his house at an average speed of 5 km/h and reaches his office 6 minutes late. If he walks at an average speed of 6 km/h, he reaches 2 minutes early. The distance of the office from his house is:
Question : Amita travels from her house at $3 \frac{1}{2}$ km/hr and reaches her school 6 minutes late. The next day she travels at $4 \frac{1}{2}$ km/hr and reaches her school 10 minutes early. What is the distance between her house and the school?
Question : Direction: A train runs for 2 hrs at the speed of 40 km/h and then runs for 4½ hrs at the speed of 6 km/h and then runs for 3½ hrs, at the speed of 70 km/h. Find the average speed of the train.
Question : If a boy walks from his house to school at the rate of 4 km/h, he reaches the school 10 minutes earlier than the scheduled time. However, if he walks at the rate of 3 km/h, he reaches 10 minutes late. Find the distance of his school from his house.
Question : As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and returns to the starting point at 75 km/h. The average speed of the person throughout the journey is:
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